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    "# <center> Lecture9 : Bayes Factor </center>  \n",
    " \n",
    "## <center> Instructor: Dr. Hu Chuan-Peng </center> "
   ]
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    "## 回顾  \n",
    "\n",
    "上节课我们结合随机点运动范式，使用一个简单线性模型讲了一个相对完整的贝叶斯分析的workflow。  \n",
    "\n",
    "然而，对于贝叶斯推断来说，除了 HDI 以及 HDI+ROPE 外，我们还在第七节课中介绍过另一种在心理学中常用的方式：**贝叶斯因子 (Bayes Factor, BF)**。  \n",
    "\n",
    "![Image Name](https://cdn.kesci.com/upload/sms4lt6fnj.png?imageView2/0/w/720/h/960)  \n",
    "\n"
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    "本节课将从心理学的视角，介绍贝叶斯因子的基本概念、优势及其在心理学研究中的应用：  \n",
    "\n",
    "**Outline**  \n",
    "\n",
    "1. 传统假设检验方法  \n",
    "2. 贝叶斯因子基本概念  \n",
    "3. 贝叶斯因子计算与应用  \n",
    "   - Testing against the point-null  \n",
    "   - Testing against a null-region  \n",
    "   - 练习：Directional hypotheses  \n",
    "4. 第二次小作业"
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    "## 传统的假设检验方法  \n",
    "\n",
    "🧑‍💻在学习贝叶斯因子前，简单回顾传统统计中的零假设显著性检验（Null Hypothesis Significance Test, NHST）。  \n",
    "\n",
    "频率学派的假设检验主要是基于概率性质的反证法所实现的推论统计方法。即承认如下前提:小概率事件(发生概率小于0.05的事件)在单次抽样中不会发生。  \n",
    "\n",
    "在传统的假设检验框架中，研究者需要根据研究对总体做互斥的两种假设，即零假设$H_0$和备择假设$H_1$：  \n",
    "> **零假设（Null Hypothesis，$H_0$）**：表示没有效应或差异的假设。在许多情况下，零假设代表“无差异”或“无效应”，例如认为两组数据的均值没有显著差异。  \n",
    "\n",
    "> **备择假设（Alternative Hypothesis，$H_1$）**：表示零假设不成立时的假设，通常认为有显著效应或差异。  \n",
    "\n",
    "传统假设检验的核心概念还包括：  \n",
    "\n",
    "- **Alpha（$\\alpha$）**：显著性水平，通常设定为 0.05，表示在零假设（$H_0$）成立的情况下，错误拒绝零假设（$H_0$）的概率。换句话说，alpha（$\\alpha$）是我们愿意接受的第一类错误概率（假阳性）。  \n",
    "- **$P$值**：是指在零假设成立的前提下，观察到当前或更极端数据的概率。如果 $P$ 值小于等于 $\\alpha$，传统统计学的框架下通常会拒绝零假设，认为数据提供了足够的证据支持备择假设。  \n",
    "\n",
    "- 传统的假设检验方法主要依赖于 $P$ 值，这一方法在统计学中应用广泛，但也存在多个问题：  \n",
    "    1. **假阳性结果**：研究者可能会通过操纵p值来达到显著性，如增加样本量或调整变量，这会导致假阳性结果，误导后续研究。    \n",
    "    2. **忽视效应大小**：$P$ 值无法提供效应大小的信息，仅仅是显著与否的二分判断，不能全面反映数据的实际意义。       \n",
    "    3. **不考虑先验信息**：传统假设检验忽略了先验知识和理论背景，仅关注数据本身，无法有效利用已有的研究成果。  \n",
    "    4. **无法为直接为零假设提供支持**：不显著结果不代表零假设为真。  \n",
    "\n",
    "<p align=\"center\">  \n",
    "  <img src=\"https://cdn.kesci.com/upload/smw36cj13b.png?imageView2/0/w/480/h/960\" alt=\"Image Name\">  \n",
    "</p>  \n",
    "\n",
    "\n",
    "> 胡传鹏等(2018). 贝叶斯因子及其在JASP中的实现. *心理科学进展* \\  \n",
    "> 吴凡, 顾全, 施壮华, 高在峰, 沈模卫. (2018). 跳出传统假设检验方法的陷阱——贝叶斯因子在心理学研究领域的应用. *应用心理学*  \n",
    "\n",
    "\n",
    "<div style=\"padding-bottom: 50px;\"></div>"
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    "### 为什么要介绍贝叶斯因子？  \n",
    "\n",
    "与传统假设检验方法相比，贝叶斯因子具有以下几方面的优势：  \n",
    "\n",
    "1. **对假设一视同仁：** 同时评估$H_0$和$H_1$的可能性，能够为$H_0$提供支持证据，解决传统假设检验难以证明$H_0$成立的问题。  \n",
    "2. **结合先验信息：** 贝叶斯因子分析可以利用先验知识，将前人的研究成果与当前数据结合，提供更为全面的证据评估。       \n",
    "3. **避免*p*值操纵：** 贝叶斯因子的计算基于全数据集，不受单个数据点的影响，能够有效避免p值操纵带来的假阳性结果。      \n",
    "4. **支持多模型比较：** 贝叶斯因子不仅适用于二元假设检验，还可以用于比较多个模型的适用性，提供更为灵活的统计分析工具。  \n",
    "5. **可以直接支持零假设**。  \n",
    "\n",
    "> 吴凡, 顾全, 施壮华, 高在峰, 沈模卫. (2018). 跳出传统假设检验方法的陷阱——贝叶斯因子在心理学研究领域的应用. *应用心理学*  \n",
    "\n"
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    "## 贝叶斯因子（Bayes Factor，BF）的基本概念  \n",
    "\n",
    "频率学派将随机事件发生的频率作为一种客观指标，而贝叶斯学派则从观察者的视角出发将概率理解为一种主观不确定性。  \n",
    "\n",
    "贝叶斯因子（Bayes Factor，BF）作为一种基于贝叶斯统计的验证方法，主要用于比较零假设（$H_0$）与备择假设（$H_1$）的相对支持程度，其衡量的主要是数据在这两种假设下的解释能力。  \n",
    "\n",
    "具体来说，贝叶斯因子可以表示为：  \n",
    "\n",
    "$$  \n",
    "\\begin{align*}  \n",
    "\\text{BF}_{10} &= \\frac{\\text{posterior odds}}{\\text{prior odds}}  \n",
    "&= \\frac{P(H_1 | \\text{Data})} {P(H_0 | \\text{Data})} * \\frac {P(H_1)} {P(H_0)}  \n",
    "&= \\frac{P(\\text{Data} | H_1)}{P(\\text{Data} | H_0)}  \n",
    "\\end{align*}  \n",
    "$$  \n",
    "\n",
    "其中，$P(Data | H_1)$ 和 $P(Data | H_0)$ 分别表示在备择假设$H_1$和零假设$H_0$下数据的似然值。  \n",
    "\n",
    "- Posterior odds：后验概率比  \n",
    "- Prior odds：先验概率比  \n",
    "- $H_0$：零假设  \n",
    "- $H_1$：备择假设  \n",
    "\n",
    "> Heck, D. W., Boehm, U., Böing-Messing, F., Bürkner, P.-C., Derks, K., Dienes, Z., Fu, Q., Gu, X., Karimova, D., Kiers, H. A. L., Klugkist, I., Kuiper, R. M., Lee, M. D., Leenders, R., Leplaa, H. J., Linde, M., Ly, A., Meijerink-Bosman, M., Moerbeek, M., … Hoijtink, H. (2023). A review of applications of the bayes factor in psychological research. Psychological Methods, 28(3), 558–579. https://doi.org/10.1037/met0000454  \n"
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    "当然，贝叶斯因子还有一种表达方式，即后验概率比等于贝叶斯因子乘以先验概率比：  \n",
    "\n",
    "$$  \n",
    "\\begin{align*}  \n",
    "\\text{posterior odds} &= \\text{BF}_{10} \\times \\text{prior odds}  \n",
    "\\end{align*}  \n",
    "$$  \n",
    "\n",
    "这说明，贝叶斯因子不仅反映了数据对假设的支持程度，还反映了先验概率到后验概率变化的程度或证据。  \n"
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    "同时，贝叶斯因子分析能够帮助研究者根据现有证据评估不同假设成立的可能性之比，并且在评估证据强度上也有一套独立的标准：  \n",
    "\n",
    "|**贝叶斯因子** |**解读**|  \n",
    "|-|-|  \n",
    "|> 100|极强的证据支持$H_1$|  \n",
    "|30 ~ 100|非常强的证据支持$H_1$|  \n",
    "|10 ~ 30|较强的证据支持$H_1$|  \n",
    "|3 ~ 10|中等程度的证据支持$H_1$|  \n",
    "|1 ~ 3|较弱的证据支持$H_1$|  \n",
    "|1|没有证据|  \n",
    "|1/3 ~ 1|较弱的证据支持$H_0$|  \n",
    "|1/10 ~ 1/3|中等程度的证据支持$H_0$|  \n",
    "|1/30 ~ 1/10|较强的证据支持$H_0$|  \n",
    "|1/100 ~ 1/30|非常强的证据支持$H_0$|  \n",
    "|< 1/100|极强的证据支持$H_0$|  \n",
    "\n",
    "\n",
    "> Source: 该表改编自胡传鹏等(2018)，源引用于Lee & Wagenmakers (2014)。  \n",
    "\n",
    "* $BF_{10}$ = 1，收集到的数据并没有改变备择假设$H_1$的相对可能性  \n",
    "* $BF_{10}$ > 1，收集到的数据增加了备择假设$H_1$的相对可能性。$BF$越大，表明支持备择假设$H_1$的证据越强  \n",
    "* $BF_{10}$ < 1，收集到的数据削弱了备择假设$H_1$的相对可能性。$BF$越小，表明支持备择假设$H_1$的证据越弱  \n",
    "\n",
    "> 胡传鹏, 孔祥祯, Eric-Jan Wagenmakers, Alexander Ly, 彭凯平. (2018). 贝叶斯因子及其在JASP中的实现. *心理科学进展*  \n",
    "\n",
    "> Makowski, D., Ben-Shachar, M. S., & Lüdecke, D. (2019). bayestestR: Describing Effects and their Uncertainty, Existence and Significance within the Bayesian Framework. Journal of Open Source Software, 4(40), 1541. https://doi.org/10.21105/joss.01541  \n",
    "\n",
    "> Makowski, D., Ben-Shachar, M. S., Chen, S. H. A., & Lüdecke, D. (2019). Indices of Effect Existence and Significance in the Bayesian Framework. Retrieved from 10.3389/fpsyg.2019.02767  \n",
    "\n",
    "<div style=\"padding-bottom: 30px;\"></div>"
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    "## 贝叶斯因子的计算与应用  \n",
    "\n",
    "之前我们已经向大家介绍了 HDI + ROPE (最高密度区间 + 预设效应范围)方法，那么，这节课我们会主要基于贝叶斯因子来进行模型推断的讲解。  \n",
    "\n",
    "### 简单线性回归模型的假设检验  \n",
    "\n",
    "贝叶斯回归与传统回归模型类似，但它通过先验分布、似然函数和后验分布来进行推断。  \n",
    "\n",
    "我们依旧沿用之前自我匹配范式的例子，以**探究两种条件（self与other）下的反应时差异**。  \n",
    "\n",
    "$$  \n",
    "\\begin{align*}  \n",
    "\\beta_0   &\\sim N\\left(m_0, s_0^2 \\right)  \\\\  \n",
    "\\beta_1   &\\sim N\\left(m_1, s_1^2 \\right)  \\\\  \n",
    "\\sigma    &\\sim \\text{Exp}(\\lambda)        \\\\  \n",
    "&\\Downarrow \\\\  \n",
    "\\mu_i &= \\beta_0 + \\beta_1 X_i             \\\\  \n",
    "&\\Downarrow \\\\  \n",
    "Y_i | \\beta_0, \\beta_1, \\sigma &\\sim N\\left(\\mu_i, \\sigma^2\\right). \\\\  \n",
    "\\end{align*}  \n",
    "$$  \n",
    "\n",
    "<p align=\"center\">  \n",
    "  <img src=\"https://cdn.kesci.com/upload/smkijcu8co.png?imageView2/0/w/640\" alt=\"Image Name\">  \n",
    "</p>  \n",
    "\n",
    "<div style=\"padding-bottom: 50px;\"></div>"
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    "### 假设检验 vs. 贝叶斯因子  \n",
    "\n",
    "在传统假设检验中，我们会计算出一个 $p$ 值。如果 $p$ 值小于等于设定的显著性水平（例如 0.05），则拒绝零假设，认为自我和他人条件下的反应时存在显著差异。  \n",
    "\n",
    "\n",
    "<p align=\"center\">  \n",
    "  <img src=\"https://cdn.kesci.com/upload/smw4sakmzz.png?imageView2/0/w/320/h/960\" alt=\"Image Name\">  \n",
    "</p>  \n",
    "\n",
    "\n",
    "与传统的假设检验方法不同，贝叶斯统计使用 **贝叶斯因子（Bayes Factor，BF）** 来衡量不同模型之间的相对证据强度。贝叶斯因子不是基于 $p$ 值，而是通过比较模型间的后验概率来得出结论。  \n",
    "\n",
    "**假设检验：**  \n",
    "\n",
    "- **零假设（$H_0$）**：自我和他人条件下的反应时没有显著差异，即 $\\beta_1 = 0$。  \n",
    "- **备择假设（$H_1$）**：自我和他人条件下的反应时有显著差异，即 $\\beta_1 \\neq 0$。  \n",
    "\n",
    "💡注意：在本课中我们关注的是两个条件之间的差异，因此我们仅重点关注**beta_1**，因为它反映了**self和other条件之间的反应时间差异**。  \n",
    "\n",
    "具体而言，**\"贝叶斯因子能用来回答什么问题呢？\"**"
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    "贝叶斯因子非常灵活，因为它不仅可以用于简单的假设检验，还可以用于比较复杂模型、评估模型拟合优度、以及在多模型比较中提供更丰富的信息。  \n",
    "\n",
    "**以下是贝叶斯因子常见的三种应用及可能的假设示例：**  \n",
    "\n",
    "对于**自变量 （Label）**  **因变量（RT_sec）** 的关系，  \n",
    "* 我们的主观猜想是：在self条件下时的反应时间比在other条件下更短。  \n",
    "* 在第八节课中，我们的先验设定也反映了我们的主观信念，但是支持我们假设的证据是什么，如何证明？  \n",
    "* 如何检验 $\\beta_1 = 0$（零假设）与 $\\beta_1 \\neq 0$（备择假设）之间的关系？  \n",
    "\n",
    "我们可以使用贝叶斯因子来比较这两个模型，计算贝叶斯因子 $BF_{10}$，来量化零假设和备择假设之间的证据差异。  \n",
    "\n",
    "几种可能去检验研究假设的做法：  \n",
    "\n",
    "> 1. 以零效应作为$H_0$，检验自我条件和他人条件之间的差异是否为0（即检验效应是否为零）。  \n",
    "> 2. 以零效应及其两侧一定范围为作$H_0$，看看效应落在这个区间的可能性与落在这个区间之外的可能性的相对大小（即零区域）。  \n",
    "> 3. 带有特定方向的假设，例如自我条件下的反应时是否比他人条件下短（即具有方向性的假设）。  \n",
    "\n",
    "1. **Testing against the point-null**  \n",
    "   \n",
    "   贝叶斯因子可以用来检验某个参数是否等于零，即检验点的零假设。  \n",
    "\n",
    "2. **Testing against a null-region**  \n",
    "   \n",
    "   有时，我们可能会设定一个“零区域”，即一个参数值的范围，该范围内的值被认为与零没有显著差异。假设我们设定一个区间 $\\beta_1 \\in [-0.05, 0.05]$，认为 $\\beta_1$ 落在这个区间内是可以接受的无效效应。通过贝叶斯因子，我们可以计算数据支持 $\\beta_1$ 在零区域内（$\\beta_1 \\in [-0.05, 0.05]$）或零区域外（$\\beta_1 \\notin [-0.05, 0.05]$）的证据强度。  \n",
    "\n",
    "3. **Directional hypotheses**  \n",
    "   \n",
    "   贝叶斯因子也可以用于检验某个参数是否有特定的方向性，即是否存在正向或负向的影响。例如，我们可以提出假设 $H_1: \\beta_1 > 0$，认为自变量 （Label）对因变量（RT_sec）有正向影响。贝叶斯因子将帮助我们评估数据是否支持这种方向性的假设，而不仅仅是支持或拒绝零假设。  \n",
    "\n",
    "👏 接下来，我们会通过示例向大家介绍这三种方法。  \n",
    "\n",
    "<div style=\"padding-bottom: 30px;\"></div>  \n"
   ]
  },
  {
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   "source": [
    "## Testing Models’ Parameters with Bayes Factor  \n",
    "### Testing against the point-null  \n",
    "\n",
    "我们可以首先从最简单的假设开始，即假设没有效应，self和other条件下的反应时间相同，即**探究 $\\beta_1$ 是否等于零**🤔  \n",
    "\n",
    "当我们检验参数是否等于零时（如检验参数 $\\beta_1 = 0$），这就是点零假设的检验。  \n",
    "\n",
    "贝叶斯因子可以帮助我们衡量数据对点零假设与非零假设的支持程度。在回归模型中，我们可以设定一个零假设 $H_0: \\beta_1 = 0$ 和备择假设 $H_1: \\beta_1 \\neq 0$，然后使用贝叶斯因子来计算零假设和备择假设的相对证据。  \n",
    "\n",
    "$$  \n",
    "BF_{10} = \\frac{P(\\text{Data} | H_1)}{P(\\text{Data} | H_0)} = \\frac{P(Data|\\beta_1 \\neq 0)}{P(Data|\\beta_1 = 0)}  \n",
    "$$"
   ]
  },
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   "source": [
    "我们还是以编号为\"201\"的被试数据为例进行演示："
   ]
  },
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    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A data.frame: 6 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>Label</th><th scope=col>RT_sec</th><th scope=col>index</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>1</td><td>0.753</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>1</td><td>0.818</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>1</td><td>0.917</td><td>3</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>1</td><td>0.717</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>1</td><td>0.988</td><td>5</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>1</td><td>0.950</td><td>6</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 3\n",
       "\\begin{tabular}{r|lll}\n",
       "  & Label & RT\\_sec & index\\\\\n",
       "  & <dbl> & <dbl> & <int>\\\\\n",
       "\\hline\n",
       "\t1 & 1 & 0.753 & 1\\\\\n",
       "\t2 & 1 & 0.818 & 2\\\\\n",
       "\t3 & 1 & 0.917 & 3\\\\\n",
       "\t4 & 1 & 0.717 & 4\\\\\n",
       "\t5 & 1 & 0.988 & 5\\\\\n",
       "\t6 & 1 & 0.950 & 6\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 3\n",
       "\n",
       "| <!--/--> | Label &lt;dbl&gt; | RT_sec &lt;dbl&gt; | index &lt;int&gt; |\n",
       "|---|---|---|---|\n",
       "| 1 | 1 | 0.753 | 1 |\n",
       "| 2 | 1 | 0.818 | 2 |\n",
       "| 3 | 1 | 0.917 | 3 |\n",
       "| 4 | 1 | 0.717 | 4 |\n",
       "| 5 | 1 | 0.988 | 5 |\n",
       "| 6 | 1 | 0.950 | 6 |\n",
       "\n"
      ],
      "text/plain": [
       "  Label RT_sec index\n",
       "1 1     0.753  1    \n",
       "2 1     0.818  2    \n",
       "3 1     0.917  3    \n",
       "4 1     0.717  4    \n",
       "5 1     0.988  5    \n",
       "6 1     0.950  6    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 安装和加载包\n",
    "options(repos = c(CRAN = \"https://mirrors.tuna.tsinghua.edu.cn/CRAN/\"))\n",
    "if (!requireNamespace('pacman', quietly = TRUE)) {\n",
    "  install.packages('pacman')\n",
    "}\n",
    "pacman::p_load(\"tidyverse\",\"ggplot2\", \"dplyr\",\"gridExtra\",\"papaja\", \"patchwork\",\"bayesplot\",\"rstan\",'readr',\"bridgesampling\")\n",
    "options(warn = -1)  # 抑制警告\n",
    "rstan_options(auto_write = TRUE)\n",
    "\n",
    "\n",
    "# 加载数据\n",
    "df_raw <- read.csv(\"/home/mw/input/bayes3797/Kolvoort_2020_HBM_Exp1_Clean.csv\")  \n",
    "\n",
    "# 筛选被试 \"201\" 和 Matching == \"Matching\"\n",
    "df <- df_raw %>%\n",
    "  filter(Subject == \"201\" & Matching == \"Matching\") %>%\n",
    "  select(Label, RT_sec) %>%\n",
    "  mutate(Label = ifelse(Label == 1, 0, 1))  # 重新编码 Label: 1->0, 2/3->1\n",
    "\n",
    "# 添加索引\n",
    "df$index <- 1:nrow(df)\n",
    "\n",
    "# 如果需要保存\n",
    "# write.csv(df, \"Kolvoort_2020_HBM_Exp1_Clean_201.csv\", row.names = FALSE)\n",
    "\n",
    "# 查看前几行\n",
    "head(df)"
   ]
  },
  {
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   "source": [
    "**根据我们的模型：**  \n",
    "\n",
    "$$  \n",
    "Y_i \\mid \\beta_0, \\beta_1, \\sigma \\sim \\mathcal{N}(\\mu_i, \\sigma^2)  \n",
    "$$  \n",
    "\n",
    "**先验（prior）**  \n",
    "\n",
    "* > $\\beta_{0}   \\sim N\\left(5, 2^2 \\right)$  \n",
    "  * > 模型的截距项服从均值为 5，标准差为 2 的正态分布。  \n",
    "* > $\\beta_1   \\sim N\\left(0, 1^2 \\right)$  \n",
    "  * > 模型的斜率项，服从均值为 0，标准差为 1 的正态分布。  \n",
    "* > $\\sigma   \\sim \\text{Exp}(0.3)$  \n",
    "  * > 代表误差项的标准差，服从参数为 0.3 的指数分布。  \n",
    "\n",
    "**似然（likelihood）**  \n",
    "\n",
    "* > $\\mu_i = \\beta_0 + \\beta_1X_i$  \n",
    "* > $Y_i {\\sim} N\\left(\\mu_i, \\sigma^2\\right)$  \n",
    "\n",
    "\n",
    "<div style=\"padding-bottom: 30px;\"></div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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   },
   "source": [
    "**模型定义：**"
   ]
  },
  {
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   "source": [
    "stan_model_code <- \"\n",
    "data {\n",
    "  int<lower=0> N;          // 观测数量\n",
    "  vector[N] x;             // 预测变量 (Label)\n",
    "  vector[N] y;             // 响应变量 (RT_sec)\n",
    "}\n",
    "parameters {\n",
    "  real beta_0;\n",
    "  real beta_1;\n",
    "  real<lower=0> sigma;\n",
    "}\n",
    "model {\n",
    "  // 先验\n",
    "  beta_0 ~ normal(5, 2);\n",
    "  beta_1 ~ normal(0, 1);\n",
    "  sigma ~ exponential(0.3);\n",
    "  \n",
    "  // 似然\n",
    "  y ~ normal(beta_0 + beta_1 * x, sigma);\n",
    "}\n",
    "\"\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "CC6D0D4F0142443AB7BCABEBF0AB453B",
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   "source": [
    "**后验采样：**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
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    "id": "D0615F569E5449BAB1F784CBE95AA797",
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   "source": [
    "# 编译模型\n",
    "linear_model <- stan_model(model_code = stan_model_code)\n",
    "\n",
    "# 为Stan准备数据\n",
    "stan_data <- list(\n",
    "  N = nrow(df),\n",
    "  x = df$Label,\n",
    "  y = df$RT_sec\n",
    ")\n",
    "\n",
    "# 从后验采样\n",
    "fit_posterior <- sampling(\n",
    "  linear_model,\n",
    "  data = stan_data,\n",
    "  iter = 6000,  # draws=5000 + tune=1000\n",
    "  warmup = 1000,\n",
    "  chains = 4,\n",
    "  seed = 84735,\n",
    "  refresh = 0\n",
    ")\n"
   ]
  },
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Inference for Stan model: anon_model.\n",
      "4 chains, each with iter=6000; warmup=1000; thin=1; \n",
      "post-warmup draws per chain=5000, total post-warmup draws=20000.\n",
      "\n",
      "       mean se_mean   sd 2.5%  25%  50%  75% 97.5% n_eff Rhat\n",
      "beta_0 0.71       0 0.04 0.64 0.69 0.71 0.74  0.78  9024    1\n",
      "beta_1 0.15       0 0.05 0.06 0.12 0.15 0.18  0.24  9084    1\n",
      "sigma  0.23       0 0.02 0.20 0.22 0.23 0.24  0.27 11771    1\n",
      "\n",
      "Samples were drawn using NUTS(diag_e) at Tue Oct 28 05:11:03 2025.\n",
      "For each parameter, n_eff is a crude measure of effective sample size,\n",
      "and Rhat is the potential scale reduction factor on split chains (at \n",
      "convergence, Rhat=1).\n"
     ]
    }
   ],
   "source": [
    "print(fit_posterior, pars = c(\"beta_0\", \"beta_1\", \"sigma\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "AF4392DECD784218B5315DC132BD19B3",
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   },
   "source": [
    "**MCMC诊断**"
   ]
  },
  {
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    {
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/RXnAcUIPmZomwOFRynJzzX35sXd1C/mwKFKs6R79qoU2NOtOaGxHwIweIbTtwH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lJtapNDOWsMx3XfdtwhprU0yAy52ssdgp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WL1xQ9b0H5iOKOzK1aibQTJlS1WYpW0Fj1S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\nMzgxMDMKJSVFT0YK",
      "text/html": [
       "<img src=\"https://cdn.kesci.com/upload/rt/9746ED675F8B4A538CBDD0DBBAB409D3/t4tt2ij4.svg\">"
      ],
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "application/pdf": {
       "height": 420,
       "width": 420
      },
      "image/jpeg": {
       "height": 420,
       "width": 420
      },
      "image/png": {
       "height": 420,
       "width": 420
      },
      "image/svg+xml": {
       "height": 420,
       "isolated": true,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "trace_beta_0 <- bayesplot::mcmc_trace(\n",
    "  fit_posterior,\n",
    "  pars = \"beta_0\"\n",
    ") +\n",
    "  papaja::theme_apa()\n",
    "\n",
    "trace_beta_0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "id": "D4DD50EC333C471E9B1465CCF912466C",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "vscode": {
     "languageId": "r"
    }
   },
   "outputs": [
    {
     "data": {
      "application/pdf": 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mE6bYsBhz5OrTsyQef3llMYKGJsLhIuTKQ9zVtN0sV7aijwL/n1pDqAeaSTE5LD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xWGhg27ZMNlfoeRjJDmN+PpiQfo6fvyYEa+A06OdBDStJe8IW1LDOodwAB2L++ZVD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\nbbKgGeRiGdGvSHagV/9z0TBWfx6/j2EuVrM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BBMrvU2VeDIRJBFGMD4L816o8wmQIgoZTvQNiYZ2fU4Z3DVSRPmiTKOapmDSszOgoVTtF\nw7rhHQussPL+pWp+90H0rqm7bhrWccbbVljn1FQIGlZw9n+EIOE8d00kt0wnFMnaCSui3iXR\nsHKhujUQvGsyXHx9QqZheR678q75XlPRsKA1zUeBTlixvZudYmFlBplPZjphLcpHi9gDJ6yL\nTTFek4cQCuHhyMJOWLlR5kO2yMLKq6rtUSL41PgdKBdjiEnz0tMMK2MzFWxkhoWGcL6Ti0ys\n5D0yaH46zLAuk6ZMV8MMa7KLkxdIZlgoR18fg5mkPHAxUNZw4CiCQxrmJigBhQD6Tkxnr5Z5\nWK8fehphPT+9+Is0LFgrNH+KHuqVEUiDlyFp8+XvynnkiVH96TTCgqrO9gkuSBhcs6oXyyvt\ntXo/kE05dPEn7YMlroqQyxsowsUiD6vFNXF/daWdX8qBCsoLNosORB8sOHPzvVhdAmCyXgHw\n9zHMFNxLpe6+2PadkLpBYIO1/hf5e6VG725LXOJhKWWlgcjEmvX4kvqK3ij/CjMnVAymDRau\nIcP/x9ZrsPFcOsYW6gqv4YLFnjE9CFHMCUk80APrYWq6+6DuNlLGJEs8rC8fukhThI1HeKB8\nhVELu/7U2Gy//j6VtasoLR3Y9EHGwPKHQOABOb6LGKROlIxStwvWON7oLPGwWve6uMjDAq9M\nO8HFjggF4GvIQ93WOb1csGruW0NSgodiBoS6tA800y028rfm1XWxS80URCKkYLGF9yGE+tVb\nchuLHKxtNzZkL1NAtxe3dVF6y1n/P9QHxjRyXjesLpOwhnaYcsCBDNnrkVG/Wm/1NqTWXS56\nu5QF5IOF2VlPKklYub8cPoTEidrFJ4EjC1hp/K4FbZGXDOMIiijICQvdYMsjTxlAquESTljo\nrL5mzaV+jyySFF3ACovJM8/OIGFlf3j3GYI2sUaFnYscrBDDVkhGz9kkpQu9mHV+Sz1GTlhw\ncVgaaKl+tcz+XeRgNQs7A7jb2pYEUAVHAMkLLx8saMYfHQPWxGtRyb6WWBNHeYXFxoxsX2/1\nTSRg7dfKGbbBGrtuBRhYKWbTfQQZWN1ln0WnZ6QFXz3xMsGCx2AYkQmWko9LDKz4nma+rcgY\nKN21GGWgNVlLsBhYc9fPIANrT/9QFq3sL4knXgSsTPbq8mzJfxXDaJmAFd6R2AQrJ/l2PRCq\nV29Vr9ZW1jnqCd/IOqexvLYA0Eyu0t4yASvffi3sJGCVPSORy7KLwkf4YC1ZE/tTJGBlsHoK\nUgu7L7MIWNmqoyt4VL0KpREWg4cH0ybz5HLCQq5m++vhhJV9tce/A6SJ2LXas1/pydKUF+5D\n0kReDOZZ5IQV335ITlg/2axFBtaTP1atBYuyFtgM+FOoxZYSk42wYrnFxT5YMITVAyUC1ltl\n3lRFkn+W8m1wwjqVkCWC2lXHpOWBQMBqlr4HknHw2xzOJ8NuILGo7fyiCCRkHNS4aCusrCjg\n8dmiX+1h+Y/NNue8YsrpbKYqs2Qy6B3fN31PULJnBCAzLKoUHyF0sJGjDowfuHWfHneAd5wy\n/nxxc25Q7Kz3XVZYkBbysChetcqJb3KvoP2gmhecsNi9p9ueCD4WVsqRFVZmonThk0HBim1o\nMd2kX6X0iN6upARONRcwOttUmEeSnIs9rbAoBPgODwT+FRhZV0i+WTjo+utzimpW+MUjOph9\nkYB1txVWf93btJvKV6XBs0m/6t/6sdmHBZVJEehghTURRU3/MDphdXct7a7yVRFkN9hXuXQ2\nbUVhhrXpBMJ3cHc5qFtnv9sMq+TkEsnyVZRHIwYKhcFRH0P5SgkEImRPDPGv5IUlT3UhOdtl\nBj7qV4B/pavVizghjQUYYdFDQpGZfLAwI6vzdP9wrzgTb5KvYNXLaGizSwTZWq6T8MFiu8ZL\n7/hOIyyqEE0BqF29pVOxOQmjOXX4u2BhEww0H0JTxo+aRGWE1aYTIlvkq0ydcMe0ScCCcg3N\nWAFtZh81hcNWaLBPlU1JdsLa1zyzLQrWS/8rDMTDKeeOY+hYn++pXx0ysFrYjqnLCSvTs/SD\nexLKK5y1afWhbbYnZYZGjVRwwhoIE7ZHBgUrqml7i4KVMYpisU0KFrxquKZsUrCgG/v6GPAm\nbhEntyhYUIvQEy4rrGTahk8Rtat5zY/dU7WroWUPpEY2nB1NCSJhQUq0C4GPTfbocg+wRcJa\ny2HnFgnrDqqO/VF24iDlr9YBOmEhYuv+FGaSef22i4V11DDyUKmNJqXdgyDrnHr4YQTTyFhO\nWtAIC/Wb1z+THKyq4PZNDhYLfGEk+zW2nbq6rbCiOq3ohPUw83eN0IpKlZfNzoRQ5xaRAerw\ncXxbRlh/R3kEcA55vQ/cYmA1eyv1za50GJj49DY7MXB7HyKXDHGFI7LBivcXAWniFBdESgcw\nz6LLBcwJsavaLtHJBwtLha4yCVgxS5lpi4CV8SClaiHoSVfJeH1MsSYKwTzyTslvdllhIc7a\neg7Ev2rLPS97K+/snTycsKRa8XqcvdU/3/xdYBumwaBKL5v0q7c5hoIXFgVm1OuUtKvBrO7U\n3yiAT6isPYY2RfoUEJB7hVAvjKB0dWfNoIc552CS7SEE7tVrj81E5j8/LLdN7lXuYZTsy/JP\nShe8Xw/cpotnRgjfMCheZYfIEADqVRbhRyFwfly1iieRvdHozo/uZda5V18lvbAoYnIFoHb1\nFQg368MPOGFaBy7TzrkFWh4nJslYuqGywsqi4S3kcBX4OwE9gpB1juN20U0pZ8QSw99FzZ7X\nGYEt7tVGtsYDgXzVS1Rxi32VSes6RVSvsleRZ3QonBan27Wt2w0r2ZQMMQ/pVxHtB6FlenWQ\nn1d55+TjdA8UQ31RPmZIyEudw4cELOZyfQzyzhf1unwFkeJg8l55FZhhMW2gZJrNsJqTOoeX\nCs5OSqEe8a8+wc+0vgq2w7++Gkg7j/CWSV5YsCnmXYUVFlwKt7vMThNvoro+YIZ1yq6QiK0n\nlM6iGdbDnMf1QShgtXqoDpJ4FDz2yChg9ZLnSEorJDOQkvQJYSoZrS60CFjTOYDDpysboLUX\nhBkWbXb+7jAeQ9QnVjnPZljvtN7eEf9qXeevDpsVUHKXQMWh0AGiqdcD0cNG6utdXljQynw9\nDmgTTcn8h53tqVwAhtHQQZMO25pWbYb1VkJLZlgw6RU16JCBBSvL5Z+Rm5wGAwSfEBLPs1Lj\ntsO6U1Pi0+WHhS4RzguHBcr8HaLMHXKwjtX0oOPf/9PdbEMsBDLbEIpYaNwJIShixfK0dKKc\n0xlKHF4qpInrQ6BgZRLX54e5JN1utj+UCf/lJDPUXMX0OIvB0GF7K7IL1wNjKvlB5Ia1i2dy\nyMCiGgofBJJZkP5kljlF6pqyQ4wNyw1rOmqhGxYsN9TDcczAumYqJiI/PDXPHAqPgmFmAB42\nrVfNVm5Y0UrR6LBDJtcZbWUOnfqgY1y/i/Jf63sQxMCaNUPKDgsCafwUGVi53xAP4LBpzgVf\nIRR+r6S7/bCyVZObbvlhZR+HFmLJb0Nuo/lTUED6kSaBHxb0Cxwf2hCrf6+TSFgx3JcMRyzY\n86565afs019lvlPcPlPPc/9bPxVTyaoGh0MG1r32O4F7Hmxkq98RftrkAShwYbcU2p+0goiA\nlRM0rQkxXWX4XEZOQDJ8bjbwgMDZkMkow+dDbXvkfrX5oxtW5r2kSXHEwLrNkcEhAyt3Lcpg\nHzCm49qu77H3MZL/x78LxfDXziAI/rOENXa97nSHbqt/69VmCWszvcCDoP7VigIlO6xQ9V/I\nJbW8qWn0kIKVLr8M6A/7DLFtj0IyhH6r9d5uWFl65/7ibLJ5kJKJgqTF7YWYtjh2VSEi7oRI\nYrTDyiCvNipq4ejfHvaIgZWUT01ch9nn5mZ8+GEdi90/gjCZZCPe9adAnWi29uxHBKxsuGCq\n6UDUFEkORRxH2eftYo/9sEbp8xzyrzK4U3njiH51WfDWQMg+32qqPdwC5ybbwYwZWM3bh0P3\nCtRLjs7osptY7+RVDcuqMel9lYteLrks9doNa75uJziXMoKAuN85omCNVr/hSvxreLm49E5v\nleFXg/AT463XghQsFGiWAJSwdqUb0vsKzIlXKdLD4DrtQl9l82SGlUpSDiqviBOtQjZSsNpH\ner60WaKlEl5kmGGxPKR0EM2wmiqsBFDBykQtJ4TLDQt0SPnawAuLP0tJL3thgU/mgV3A4mx9\nKZKCDEX3+S3s3cUXJGTShNgX8sJKonP4qzCLZM2Ge5lL/hVcT5RUuiRgwdhUZ0j/L1qKFHL5\n21W9pxcWe61V97ogYGG3xVnkkoCVaS8FLZfuF10mWUQwi2RYRD+6LisseCZ2j4wSVlSC+DZZ\np4+fU4Tw15Bk+B+RggZ+GbdA8sJ6j0sQl9M0agnT54PMc8Z7YtBcvCBgJemKiYD1qdXKC4tG\n8iGkK3hmtuoBdOizpxcFXliHfY6F5BJzS3bMXlhZ0uZCcLuIE6t5W3ApBYp0lc+HFjbLkY2t\nsFopEckJ68HOUo8UCVjs5PT5XDnfqFEhW4tgPFE7b9ph5b62JnDbYc2S3b4iYY3u9/2G3NPD\nnNA0v4rOOOg7iCSsepvlh2WpQiIoY2V0wHQiaAz5cPaoSxT0Ty9ukPywck733QiVsZpLjJck\nLPQni4xz2Z2G2f36Y8g/545Fd0iGWD1cO71M4ZIfzn3tFQsLDO8pBGXZ16x9EYehMcmstQyx\n4I+iPtYrEla/LvdckbAwa3sg1LG6NUCxMR7kl2fyUQOhjjVeB06X8Vu7HiTnzFHSlbDDWvC+\nU0yJxp3Uz53dOyn5YbWU2GOAdlmLaWglW0Yy+bzK/QJ+WJmhgqmJIXqol1ODDbE+uQTqh9IF\nPgxcPJrNzIXL3RrLtVPIUgC966SXWkmVH7tTdaxZHNBLElYqTGh7fGnPRNdm/1Ykn7NbSadI\nQ6zUCFGL9RULC71hIQTZ508g7a6qYykBJk0W0DHp3GA/rLXq5WGBGD9HLy9YWAjQGZJcmt7k\npO1kZaoiNfoDeqWRIVavvOwVC+t0d2rdJRubyS5VDgTyhDiaPAg+Nq2oNpLMyBqVH3rQsJKw\no68CCesRhccQy1hH1cuLhjYwvfVOioOVCh9vIZcucX9v5COIGmDdKfPMRAdTMNrRyyQR7ZxD\nwKIeqV0J7pYE2HXt4pKE9cNNhhkW7WW1B7lbCWhlnzgQJxJbx/YrElYuzboaJGHl/kJlCLhh\nsfv+Hl14krAy660vMwnLzVyXHCzoXOu1OCRPyCyayGyShZBitsywsL1lZ4vMsOCbysj4smU0\nxn+QJBHn86Nd9eV2LVBZ9CliMrmVZpQbVm6T1CEDMyyo4MisrF+RsFY5Pl3mPpA/1WotN6xd\nBHO6YbF9xrfsSv+rCpqXNX/anl0hbKgYHgUTybksqxBCGetWtueKgpVKPIUgBd2vN8dwxKI3\nYpOGCi2x2NpQB9kRi+oW0EbuKpdie0y1ZObGN7a1AUus9c9nNxV2xNp+V0KOWKG0MhF62XCt\n1kCoY4XtgIAgBXTk/hevSVhLu62QJRZWb5qKADrYW3GqD3lLoyQ6fYp5reBQu31CmEmW9CUk\nYy4dA+Y0423SE1QQBGCThMp9HDQ8QXAfrhGELbHGVhYm6IgFp5jtccjDUoIM6eC3K7a7RuAD\nmTTl7mEwl2TP8DuN3KPWHB8DCsV2oA31gtwWvfvnGOSgw1X8kCUW6sseGHPJNDUSCHS4l12e\nQacT+Th05TspFEq5CTnsRqQKHwi8f0Posd2ckEgw/fV9KN/qrC8xR5TIgHju+re+CRVxRLeH\n1108rDvViAUXF8TQXTMQ4h4Y2Uz/0M78cyYA66tQygKJpfnLIMLp1lEACKGbFgO0vWQCeoTW\n93iZToPeJZPLYU+sJFLdJQTVrO6STrwiYnW3NADJK9VQWRQyVAPjriNgiYU2o+YvBxNrOtWE\naxmUl/n7jj+GLmWMuISgoLdoLsPaVcgSC02Ar08H1Sz4IE4PxAS0+S0BU6xNCY6xjcDJxuya\nKFusoLUTIdIoXOIBcmgFcD0y8s9ZPOpNCPPP7Mx8BEGPoNXUJiZW2GjdrN/qWAYAC/VppVl4\nT5LMwrbLkClWQ2b7GBGHYvqMr/QrGdrEq4aQT0YA0Gaa7+qysnoZO2rundIAO/9q7puUpIOY\n4gpBIeeRq7/BoDgmFoU8scyxJ0IGxf2XG4dEkIBezgQAQfzsQkS8jMKwLPtsIAC2ttuVUGle\ntBF+63wy6fderV4ALquszAhB6WbJKO5dvOxkYuU6TV0KICAQu5EH9aGproe7haCSddWnyoFQ\nFH9Ntw9bYq37g+TKNF4liQAcijoziHsSyjcfjQ/hr2dRfNZcLC5WtvgunxAIFKh31kBwUR/9\n39fHZAp2WectZIiVv/3qQpOJhdaabWCDydPqNRERa+56vDcFwMBl8DGoimczqmZDM7GKsZgQ\nqFgpLqlLv22izn6JgCPWhmjzd4Y5kUAGwBMSyVjpxuHTIRXLrHkg6GB2ZjkgHEnvCbnixSsu\nVlaUZhi5bCKaWsrFxdp1bw6Tz9IefgTlg5g0heVx4IjVtrjIIUesbC/zw3qkJcgeLQ2UD0W0\ntybsU/pf38eWBQG0BpOMhSBh8sk8pFC8bqoAAhXuXU8m+eDopNLaJDJWtuRNvStXZjZHrbuo\nPWn7TjWNRDI4YRLfx3Rkkpfbj4OuWNAsWD5mvNTq82pFNlYrNVi82NL/Yv75gd09FrBeEYjY\nWKOp2ShsihXLK5rIWH1q0wZkyWcxFA1eednYEThkigVdJ05ujXnlXCtZzg6YYt1HhQ8jMKC4\nKu6jYrT4fnNfEvLEggPs8MhZy3pgcr0MkUexlNCNxh03Ykg+rw2EakZo/hDZWHhKHkFgY2Wf\n9/Ep7jNVI9xCmITeXuPbqyT0Ys+aIF5oPXhNdKzluQwb5UYdST14iZDSqi6lgC/WQpcAc21h\nW6zhBCEQbMWPMpaJDGUaJ9sEUb6UAYXiiUYZd/z6+noQssKMR0jFvFSswv3hQOhbfL2eN/7E\nTPaz5JQIrdRX3R4ZY61esXkjI6tXfRYI+sFcKQs4Yw38+qOT7vSysaFV0Bnrof1ha4JQzLq1\njqicS76SgctCuXYzjUvVQ4qeP4XpJCs6O4wcqpp3PZysFyAzMgUcErAvyQ1Azq4Hkghmk+N6\naTQTsqyaBCQHms3lUHRQ5yI2awaGMxaNubT62BlLAkFEUMx6u5urQelqjBWHvwx56KzOcpfY\n6LKaq2HUKbKaxbzV86eyq94tEkE1a1rvkVU17e52Ibn4TfayaiCWs6JeTWro6W6JkAWpEQEs\nZjU9TkFPrAcdiL6j4mOBC+CDUMyatpAF8ve1yk0SF8u0xMrcq+YqQeRjTU2sQU+s7Bbpr0+Q\nPAr7+SZCIxswfB9Dh1wPLXwyxerFmgibYr2zbrEIWTDt0e0TIevW5WA6BKQrrt8yxcqCniZj\n8bGMPFUHiNK0BLKd5hPA9PPydlmeWAiA2UDu5Z+mgP520LFyuTLAapY7DYDAS+LWY4G6MsV9\ndzeEeSSmWuqAZAidjfmbV4x8LBjOaiCl4TN60KZanlifvUTIE+u1hh2AuyszRCQoomtjPpBy\nQlSGAkDIqgSDLLFSzOc7Q8gJovp4HkNIQQ+V+6Mt2dicWmXoiZWP5ijg0GjnanPVxMlq4TRN\nRqbsIWWiDcChVV87RlDOOlITewDByYa9FzoI5azKf4PIAyutLrEJEEHyPe0cUAPRyWY54JEp\nFnqkdxMCJkWS5LaPycci89TrTg+01cWh0EWmWFT58sfIyepin0TjbYBgqJcr2q+Af673GYnl\njJO0w2qmZVkGHgi240uL5QNmXPaD9amKTrQjL5vlqf/IycaGZGFbLKlAEZkpxYMq9/HHIAXW\nv9XgUAksav06ykK/jvxli4US+3cQ6ll5GppfyMqC3nCNjCy06t9/8JK86AeTZgMhTCcqyAsB\nK/QoMR2NtCzo0R4BUbF/ewzJUN2rExOMubP2BMwIHz1IHgdKYOm2NBef8styVhZU36aDcq3P\n59UxkFlZ/ee7zpAZBe8gWVkBDVl/F9gUI7zD6q+UwNRzGPKegAgu3zB4Yh16zCiF0F8pgb1s\nI0MuHIIGyxEiPLG4e2K/SHSRsiZ3kEJyQ553YvtTtFN3awp6SbKc1YeTQPDEmtjibGWT7Ikl\nu1YiWc7KWUmxXn9lZ2PhfFSKsb0cdP77g5uALPRwdTxkiwVnMw0tXlYfnqS7eFlUJHyEHE6B\nLH4kgix0yijxLZQtVvqoaLbtqOxDF+bly6xCH3pmo+kYu1B85wO99O3VyKZYxx8CcTGvZ9MG\ngAcxCW1NnESQg86Of74FMMU6XGa19tEVC02wDHQ7aVno9OFK00XLapWyTGTj7mgmoSvWAz4M\n52iZYuHF040XKWvbECy6SVlT/ahAoKS7zdgJuWI1K5+EXLHgK/Uhl3kYP89iZm21GhJCFjrJ\nxHoSxMzacr8Ou2Llo8HYpbNEhlWS0tqADn+YAsTOPj2+VwJQzzruzQm7Yk0VSB9AqGhN+/mg\nHt/Uku+BMwnd1ncrRMzKBBz29U/IGitVepUE69znoZrHJbSLmHWa8xPphOV2sAIgznSt2hO2\nxsoIR5MLiVnoImRaobM1BDMtt8jwxjoMXpSOlDdWQ9ncwCJ74xsH5ayzVCmDagzjLb3J1JXN\nrEu8/ibMJNkvWePSGMsuHVATxmYcTj4eiFnoV31bQCBEOFUGDxljOTr6Qy8Qya7uo4HAy8oG\nOn/ZxIzP+GQKQQ767fV68dVrm5mehxD0wGJ6KeqsFmSvhS/hVBI6apaYSEJnL0NODhqI9azl\nLAftsTCzTf+MLVXuezwOs9DKXT2EYKge/y5/OwrjKXDODY3csXr1MgDZbLxhheLBAzhardk8\nCFI+s9UVoj3We9TYGp3ULOT/wyMPeBtmKbEZSSndt3uz2Zk1QZLdH2JlPLxn7Ywopfz3CBI5\nS5sDyVHEuc67pjkWWsLMlgybY51w6z+gS8VSzy3iZmXQpt+16WiDjX8YQRU1ENw8hGhpU4F/\nBzcL6w43WJ3crGzMUa6kk84MnW6q5CcES/Xr5VzMrLw5y8OwnGXV6eiiZoUXByBpdpFSyHRe\nALE8GRXg5gvARPIqhOwiZr1WHsrGayShA90LjyBmoVvdv0M+hZ0XQ7ZYqB5tH4JiFqp//JWi\nZuXjuf0p2qm/tQQfyYEtT/KkZqE11muguFm91zpEatZ/EVSzvvRcatjKz4YkDAyEieTU5q4z\nv5dLt2o8XdysueqdvHK0aZpDH4jhMKGrrZNtsY6bJoAcqhppA9jFzeqVgO9YNEklUP2os7AF\nRaftj1ES7Hrr30XOMo8GwN/Z4kkzqNt90pt7GcXB8MVaCAq0B5ExFmx36xjyKbBPwaMQ4ma9\nducDstmsqFcnXhEqmtIpNsZa1Ip4BGU7xtx6MIPErGzaYvwhN22w9zipyhkLCl8Icp8IMbPw\nRvsg1LOG5dCBLMYNus5wxmL4XF++U5AViD+EeeS1UyYm979vbes/P5zELNv7ZGEL5azcyGv1\nsjFWjzpBGWPtWdeLxKx8SbXdCBGz2AzkgWBEseoZszPWHGpqCztjuWMdQAbPm831DyGkoDPP\ny5cw6G0lUX0juRffy0khOWMhkrzhgXJpS70t7SIDzCxsC3k5utgUFvsKG2N1110/b6wq3Id4\nWSjSdCFIQOeKwLkvyAxG6nR4ZJSz8ER4HPCyujuKg/2sYJ5Of4h2Nu5iT4R2NqnCwb2NnbFy\nDewe+YiAqyUvxMvalvIHjyqj5/e1VnM2UiP/HLsecXljnWrGoDcWXgb9dvGyGtuWHkFQ0m3e\nSEXIz4Z5OiKoZy3Lx4a8sfL5yTdGA4FOkd243GSnsF5nR4TWnQj52dRNJTNrb9VPnrA31nZ/\nIZBD0szU3zktIzrkZhDWWIv8I85ZdMaiMiS7CaEaJWaor6qIWRAJNbDFemLIEmxfgFm3sp6y\nxsot5Dcyilmjq2EtYqiYdb10whpr0mpLO/GENtXilbGXNVZDmNmEoJq1w61NMjIF3zqmx4YR\nBWpOHGgi9lF6V8ZY2AhoRpglCHa2puJJOkW6NLDHJEOBxT5FNiFH0FkbbEk9c6JlZZ5NLQB0\npmfnBNszwrSsUPUayCUpRo8Kr0FWQS49g8LWWHPX/ENWFowArr8+M9Dg7b8+RZSyXl44DYQU\ndJg/HvLGyvqb310Rs4ab+IFQVmQr4QxrLKoNrjoGjIpxvPUME7NW3S8Ss9DEwRbICDGzUjWe\nG7JYMqJodU85O0VUZVHeWOm0EPThAETh7hoGpaxriaIA8ZeSLtrqBcV2yYTgwEp5tXc7NRki\nZv0HQSmLcURSfFn54xYhttxsgts/QrCzObduOpcNJAe0cm65qLe6WptkChCnlgeikM/vuaCM\n9VZuObbKWMMtQQFOlpLWfAxIiEDOzx9C9rnbhS9sitVnzYXnEwTbjDuDpCx20w0dZEUw3z2Z\nYil7TYRlLHIdNRAYe1PMHwCb+yOVWFPRf1CpTmVYmWI1MHSZGJQpFqxer88aZay1610+yj6f\nWoMPs8+Zg0eQi4FQxnpvTaxXrfX8nSJlHTv84umEmO6WYDKQe59y7yKEknhUz4CNscZyw0aQ\nlWVdUCLg/WOuaB47g7Dc6ihtamesJTvfkDOWu2OIbAgbfLsfqR5AWGT4FO1DodS3rLEydaAE\nvqyxkH1TBWG84lI0b7kHE9M4D0bqsMZibVBxlbyxIM+tKG6ImrUcMA4xs1ZzegHeWJz8lHYb\nbOQls5HvyhA3KwVEX4+MWpYEH4mgmJWtNoxF4Y3FVoM1a6DsO7nnO5+cR1qzhlvYGisJksyb\nDjKzslSCjBGpuXS0qZVnNPlQXK/CtMaComj4ECqCWUX9SQiSYGW+lMggoCcczlhshNWOSM5Y\nkFrhKkNnrAfUZy1gQ8wsvJf+2JYwt9rBBj1TITU1/GUHwgbNnIeQOVbyrhSekruYSX5tiQbt\niSECrUeB7glQsVISQt5Y2LJOj8Nall3R0P03WKnR9h3mWLlH2659DhjiZfZQ4Ya9sVIXenlg\nqAtmkPMWssnJu/SZcSMLJZd80kc+kr4ZpmZ19zAMUrMwgWnLMcTNemuagkApLr06KGCPtVm/\n4otpe6wUl1LAOkTNUlGJCAkV11EA7LEoSqSAcNChDOIbSrfIH4sJAA8EWbB8e7u/f1EhUi1R\n8Mfa1HmgzzegS9a5ejvtj9VkZgR1785KsLLWQ8Ss96o59wn4Y00oQqrhKM2wOq+rn2BGETSE\nPEI6e0Q1A8M0aLHrWFHJYOMTPN6ZbYY7FntNfRFJzEJryfCnJmJoTNdCUMk6zUtxum00RjfU\nMgWyafOp1JvcsUA7ZWwwSM4Cvzl8DAzVczHUwzmZf25RP2wi/4yEeONuSgZZyftSu/Dg65/q\nQUpWyomujagHeFIYrL/mOYV23eh7YcrXDlmpu1ofo6mNpfhiiJzVDtPngnIhuzZQT4SW6q+S\nWzbIyt4K/w1zjv7Nd6RmoZOOVWcUo4KFZU1vMFqiBq7+pqHNFm0lYI+Va/G0OQegI9I0Y8ZB\nFY+MvNX0KH8s0sA8UCZa4H+r+05qFlrZwgiFwaJWrIX08+i1YC152jQbKgf9sRic1TjUF6ya\nwhAxq6ReUKRFMxjEUB9DTFrtOoZzyXRb1xAza1f2G6lflK3wsx4gtKS43unKHovT5hWSzyiC\ndb2DpGZBCLhtD0RL9drDD663sMRkcFkOWbLMChlkZQeZ1LBj7K+WdfxlORm08nYCkgloKPjw\nu7ixycQjC2kQMofKYKvk9iA5CxbG2wgS0L1IILmz6T9KD0GDrAdbW8VcdMhCSDrr61HLassb\n4kEjcmqF+Jg1MLuMn7PGZLJnLeqnJpO3TgjFrJwIl8/owjW8O46GRdb+zw2iQxb6PTUriJz1\nVpJjkJyFnnit11cCYc19tDDImv+QUjON5FySYhL6GxNJqip74QM1K6mw21+NHPSaoqYmshRG\nO3YRNeuldR6eKHKzQOjXqiJuFl0GBFyKsnrmJxcXswQFYcLuWH34ycRkwMYSXpwpZtauGWDS\npAg2McPHUNBnWU0kyhyrwuEpZlazFCCQQ+aaVuYpSXsostQJwdrm1qNBfyywZY7+psZgFWsn\niVlQ96X4LaAMokvWPybZ5KRP4B7LHyu+usckMwsTohoSJuMsqLrq+xtLWa0asCYzoInogbJF\n1rl2aqPXI18DPb0wyaL0hWqN8MiapdFGBEnoA93zR0jOJdk8wdBlNhazrhtjJqlZHT0QAmxu\nw+3LkxC0CP2Bi14we4fF7FIGs51hTLKy4LTBaTaR2yjxpW0iDLLImNZaSn+s9MtT0DIZyoLO\nffxdOZuhW00cp9ltqK6wF/ZYkv3nlC57LKjJbn8V6ljQUHmMHBouqnUF9lgH4ZAK4rPL2MZ1\nIttjbcrX4JqTjxXl5hyTvCyUmfUQsLMOaXHdBi6ZIPXM5oFokNXqfSMvC/IQx0OjlJW582UE\nfurpY9KGB4J4aDVQyCMrpzn9LvGy2v0ZBrpgdtVI4GTzBnTydVWDaj69Uss2yHotnxFTtCzo\nUi8jd0hQUh8bMKTYvV7jITEfa+iHDLJaVDfd5OSFDbsS9FO8rFHrieLNzO/oyouVlTPz9iFk\nZXVbXVLzhVVq1dqhDUu70OlTpp3664DEDlkqmTyESMw6zihOqsW1Mq4HsilOoe74yRJNl5fj\nQ4ilrClZvaBNVlG2iAQXPL+EZGahVZil9snmUby62x/CJPK6iCeLLPTLMcMxpwpZ35UHMeuh\n0mYzRDZF1G0WMyuFUIZ/6aUoidalSWbWkzGCbzypWagX6OsXU9C3CILyyELvpp5NMrOez7Ij\npqhZb20RE7nU/dMuFiZZdHzXvRAxq3FDI+SsH/p4qCILixxNUksJ6FPTxFIC+laToF2yUiZc\ns5RMst5R882ixuCuJ4HSxqBCMrc8ycWg9+TUMc26BmzWlUUWti3hcQJNKCSdaCCa24y6qxsJ\naJBalxFUxbEKFrKxnJDj+UDoLNhEqQxm5uFfpkuVEUOjH56E0wwcKRuo9EiXrAcbhaupVdys\nd7mZOvMhwXfXT9AhlSKTKXoLQM16ct7yOORm9epaVNN+knG0W55HTIpTEzQ7QPFkBncO8slC\n6UHTjZhZJf0ZoojCDPZ6aFSyVq+aKnyyWHRW9xqNspB08LvLdAzrA0ZApuBEyIEu09AZvHHr\nOdlhD6EYXTNTs4Zqn5PMLNiPLs0uV2SKoqFNKslCUNMDw3ikV9ggYta2cP0TU8ws6MDqGPCy\n3u3SfiJKQautYV6loG+9pyBm0T1cbQSTe5Fkkym9PUXMusMtU+v9xyoAf1ivXtQGfWn1FTLJ\nyhlB1ZRFVlZkrgeKMqEXBJVI/Y0EdGsyjg4ZxiABwYfHBlmIInUqSGkkJ10tcQvl4bwy2nqQ\nfUNZc9Wo1ltUChGoyyDr+G4uUrI+PYdAIjxfnBVuzIBB1mBswqc5NyaZf0aWygjqWPv7GeBk\nPT+CBYucrD6LYL6oQdxfi/UBARd5SSA/5JH1oB9geiDUseL3y1DHWlVjXVzEQUY9RvKdfkBk\n04UFJwvy2XwKFzlZnx1ILHGyznWUspq4FMsi+bGYaqDrSzMiWQOtO4ucLMgOcWlc5GS9dDV5\nhGQ5K1/3o0MwkeQypl9BSlYkO0d3TJysfF1EGl5dGejjmBYmWazDqEFBJllIAtT5UGBQxWMO\nlNWsY/diAIfOgq+Hob1NbYjKJOtafIAuWWwQ07q8yMlCQ8A2ktlH1C04QyVyWOVQSosuWTKa\nPf62QS7DrJFZzArnzxa75tEOqec3kIB+EDbpcrDYTFKGvx4zybBuLV4J9IJV1CQz6icXXa4O\ncMmiHIKyYTA0ul7cbZJ1l8ugS6QsCOaRsbb4EkMZTm/BkL3NcLOoTLL4wjcjl2RBpxcXaVk0\nsd1CoAs2S0sDLllD1B4jKIrvVa3x9snasoECAOnE6ZoCXLImmcKapQbdbcAW4wZSPlkho+4/\n8E2AyOCMesRJywJLlaknKNlQf98NQNlMzuKs36Ypf5vKoMkmCw224WPIy9p2+6JtA7l4u06I\nnuruDQnZZLXlxka7ZB1z1R9A6ASrQiI2pmR7M7+5aJ0MbZDhQ2iTVW2etMmie4MC+rXkb7Nc\nZVhkX9oRmgiYFCk7y8iBPlkshan6uZb8bexnlQiKWaOmaArxOm9FJG/Uw/fJB5GYZff6kF8X\n9BOnfwd5WVWghVNWdrTMW8/ZYgK6vT/fz9lkeEO6SMxCX90xAJXuPDFmNzJAmCQ9aeO/aGJK\nsZRmBCrd3Q30S8SsnIrE1V+7TNVVRV0QNoLAZPOnbHGjyoy8suBEzQL7Ii8Llundw6CYtc7P\n+dBWvYol0l7Doj6uB4JX1qnK7yItC036umSgZXXmmeCURbWhfY3QlqKdWnVFyTrXW70lSpZ4\ni0LEKValHE5ZqZ/cvznzSM1n1hRkTtb9QZa82La/K1OhDzrRjodG+nnMn4OQfUa/jo9BJQsi\nfz5F8Pngi6RzvJIGW67pLvrYUZfOxyD7/G41X9EpC9O8iKKLtTHEuMMfApMiyw767ZfJ52xg\nf/1VSD4P6FU/Qra0y1iJWKRkQcNDkQspWei7mYUg99yKrwinLJJZT309KlnxBZ8iZa3mmHWL\nlLXZhvUQQvZ5eLlKYFPHU6ulnLLA7OAjtMXKQrc7H8xNWhboY8yjwStrVH5GSM4lLcyik1kW\n3sodHogyg9Obuy1e1r1+wTan5sy5KMUityxk+tSVLbssy+jzILIp7FwWm7QsqJnwviKxSr4i\n7XzCdlklXBm2y5ql8rF5iZGcYFpoi5aVS87ZHggp6FllKNllZeyyDWAuKdf4RMilqIU/EVQr\numsBcMuiuXovBHPJHi4wySyrly5lIvS5OZWj3+JltUq8wi5roHyjFILssrCNXj4GEwqaXrsP\nynJSUhC7/s6b2SxansCQPLzy2PLKAgFYPSQ2y3rt+wfkciVWFgZuWYPxeX33Zosf12H5ZcXX\nqWy/rDPrjoqUNe03BuSy3mQaCfyyLqq+vsz2y3pN/LZfVizNJZukLGrdLSHRaUKoxXIzrwyO\nmg+hy81w+5PNsnpFCpukrAf6BlyZN/comZlQ1QN2WXx1NLHLLQu85jBy2Fhad4ukrF6ERphl\nsYmMm/VNRxw02DDYkldWfjenzC1G1j31krBvg4gAMimqZzIRtIKRv/wQosBgqbYlCwRLqabZ\nTUYWAs/mYVDFardYx3so/3zqrZFR1qx90xYja9vRGgiUvd1cg4HIpDg1G04moMuGO+iUhXiP\nhcktRlYs5bo3CFkyBWaEAqOspFJWK9pmJICUZfMxIGTtZXkH+GQh133rpjPBD77l8dcjAa2a\nu5BDqrQfg8naUL4DEiHbpGShRWP7IAqD0YSICBLQ8T3f2gXD+VQ/X25Zt3g2m5SsRtMBAsw/\nf6e4qAwG4k4NjQR0q9mablk0GWtG/t7NEZXX32TKjGw8vUxr5fb+78fGtH83kCzrnfGdz2aJ\nSgXgTUoW7O9eLVXiZK1qsdtLZSyHJJv8DWiwap6zW9ZRhuOJbUpWcxi+RcmKoonDLuswx8xd\nANyyBil5c3ugnEha2DM6EXCyWlFAN4gpKC3rmdpKQHf11sDHK2/gtyWzXdaoIiNonirn+puQ\nfj7Fi4RZltoUvd5u5p/5CTll9W/5Ix8r41ClVrf4WIjNHiF0pfhe5KNS+P0Zh/420/npLUIW\nnXg8EHLPb3hfDkVQsONViLRZVru13IiQlSnjoQnqFI9Cl+YUjUIbi828PeSIhs8H1fBXaYB8\nmkTIynZYHiM+1i7dpS06VpeGdWwSIfFwbh+C5C2K2VroxceapQCxb6mCaWO+SceChBwbWuGV\nNeWY1D0261jD1EGZZaElpfljm/fCyzH5WA/Wu+EfhtRz7/V0s/+1vdXiJK+sH/b5IR/rybqj\n3tojQtass4ZEFoM+JUbllQXdsxDw9z6NpOGIcHDIyAq4Z3gYlLFyT9f9VTBWnyWsY6usbNFj\nUC6rLFKDfQw0wbalrhPJZYsB1TWyVD3QNoFeWXC0nP4R0AS71+vtESXrtRV9nKYylnrwHyAy\nSVcGWFZZ+Sk90LbKYiHJyCWdh3MqBkIZK8bP10PKJ2XGGULJKwuh2fYJQWAwwzf6tcQRJas8\nyIFk5CxLKiLIQK/jvZbNsgrBQJf8Ss4Th5Qs1I04+xyydkAs/RC1aunKg5FFxWWxGY8oWe21\nzsgRJatvx8SHWrqZPfSjmZSsQ7trZaTplUXlpRCAMlavBoEjTtaukDyRTVrCy6LeYT0iN5XK\n65dVVjGMjihZik8TISMLqRolpGGVdfBEqzoIq6xBkhWXV3tlvbXgHlKy6MlwPRDYFJlkXv42\naIKBa9yMXJJhVFuSWRaKVNQVT2j19tvsc0KiYDY9DNhlDTBNVJ84YEiNFMnjtCm3rNHk3xmH\npKwGSyreVJKyIJY+CoE1hexj8okayj8XfdFuWbu2XkesrFPCsYc1Y5uhayBINlk9EMBmR6CI\ndnLLiq90fEjKQv1Jz91gR2G+dPXtOTliEmCwc4bSz939W3bLGrYEikNK1pMRmjIwEsTXPh1W\nWewF1+tGyyF7uQm54owPPU+kZGEvzYLPYRMZZGCZ4INTFuur+gVTKj5Ur3oITanjKkFzyMiK\nolYcMbKQePTAyD1nHj9YtoZPFt1ptcjJKIsCch4ZjCx1TguBSbqSJjnQoiZYrhs6iB4wmWtR\nQphRK8zehwEUsoYVWJ+EyMiytqyoISgBa0oQIWtVkdpOWdPCu/DJGlTtrbNB6jn3GOEPwZEi\nwwLNxYvl8PkDgI4VnyLNER8rlwsuwod8LAgUaDbcyFSAlhEGEMi8pTgnnyz4ktWnevwvAEWw\n47jlbBnc6N48gMjJKjVG+2Qly20JyCIW9BaHzweMrHaUIXgAXXrPMuCWSxZilfr2k01s9iYB\nkHFzvumvT/lONJd273TSE4taBpLFk0lWmkH7SbFL1qmHmYSsh6mygk7TazyFIO+c7IfrY1Be\naPUWi5A1ULl4BKGI9YmzwSbrYpvuqYd13cw+KPwQHwtcK8avcslqSGb4fECiwNZbADgUWX8j\nwIAL2fkCMvfuTAqhPPkhLWQhGTznv5pqKOkSaUCixfVSwQdOOMcHYRpBC1kTkvNI7ieV3jok\nZCUjsRdwIRWw1JJ6QIH4abWTKpelU4VAyyB+EFrbtBKXOtQeQPO2B87LHbfWP9lkwXWUk5Fk\nwuCsq9LuFR1L8tZERKDQXYdPFpv4FFPZJ+suB3lXbKw+HWnIVgG0V64uMMrihKV91SXBHJV3\nSTnJKAuTMx/wKzbWLluECzJWV4cHAWSdr/zsAUC/p1XSQD5ZNHm4QprsXURzvyJj5SPH2wWb\nrPS2idJAvrSub1n+ZVQuo6w2t0OfCzZWvly6g5dsrKcdnwwyzqPKJfDIYmVIz789sqCvZwTF\nK2rkP4KQcY6KC2+TEFhp7MMli5VnUbZpkgVHg6bHQFSsqND+dtEnhl9juGRdJumZmLpd7Aku\nJhoIs0gLFzcvuULgOfGtuKRi3evK3SVRvBqlH8ZaMLaxh6qjr3a/myMqFprDjdDYRqV5DoSU\nM4rGWwfR2KbibdtkQZzVAAXY9QwG3T4yAV5IJmBSukzL8YUYLa57+JAImoeoY+2GZMB6RcQ3\nlHC+XiUvw4n48pFwyDpUFNTzBRpWbt9ELLyiYfXKbV1ubiDae/3ttqLoPoT55qNt8hP2xxrV\nVnbJwkKrl54nsrBAKWJ1GPZYhyJkasGEPxZ1GiWJKYMszFhh4LBHWxv5KxZWFk51Z4Z9bf4D\nbfZpvj5DFK9UoCKC4lW2GTR/OWY82pz6IBSvsu2YOSh5ZIFPv/xTUbzar6k2lzQssCK0eb1T\nxasSXpZYaO6FVJ2gRxYFmKYR+tr0SuTfKSGwV3P6JQsLrYphZGqD5z9Xt3T7I4g6YFXwuqZg\nlaroFQXrkzJRHVJ25R4IE0lfPz8LE0k5a4aadCDooymBLKxcgD0jsPieCtMKnGWQhTy0HgXR\nsHYRqq5oWJPy2BoIlatTdVU4ZA3sk7WNKIus8Poqh6zWaLapgRajD9/UhdIVanvLPwPsidfb\nEftjNXXM0R1LiWo9mFueNscbPNhj0dZTm/3LNh4oJGgx2y6E2zIr6JBFZeYtII+GtKiWC+7E\nwYupkdHnSHk7ITTIsod8/BhkaRN2RcJa3t6lGkDo78fA3T9izbLHgip/+GdyHlnOYV4xsMZw\nQ+9lgxfsHRnuwh2L9EW9x+ZfHfdeXfOvPpuHCwJWVoG9mBxSJ+JbSsnpp1nAEZJlATSveOCJ\nzq+kg+v6HZWtSi8K5lhMXPntO5Vu9rxyaGmDm7X8sdvkdeK/1filPHbKnCLlXK1F95Zyz2XK\nRdZYCBQ1YYh9dW13HffK0Kb71pAe2dnFist+sRpB2JLJFBhjoeDT62/Urarx6op9ldPRh2TR\nAmLx3C1cJm0pneiDMIXcXVMc6Vco82z/zpsiBpkyw1wwYIxFKVy6ngK5lGBnq+WwMVZ5yybS\n4UjbTOwHdOS6hws/Xgq6ogEGmetEMpGaEqS9AIgRvOwEJJQlG7RuNn89DNXfpQAUCOadrdRo\nIqprb7Y0DBlj9WnRRCCbyQFmIsdL+hUUCfGkjpeLEXYZZ3CgVsQJhrJDzli5DWNhYbyiX8XW\nFA9kh7o+aiAsQVt2pQPWWNyMcCEftMbClu87BsSJJmGsBxBSztvqR0CW0nqIPgassQZN8a6P\nwTwySrE8IVSuQJjwz79kpDI5ASArV9d+Z+Nlw0HG6NyhP0MxMxpuEBkCAQdiaUIfr0hYyuUR\nQc752OoFA7EEHkonDbljQcFQD2wvMcEaBynnMjRMBKUrNDfoWRQNa13lgYftsbqbcMZLGhYI\nXsNDw2cXZeblgUSjZX/NKHss2w4O2WPlLMBWTiCZ6YLLYBeC+lV2dE4jyDlfN7EPuWOhGf5e\nITmb5Oy7ziMELKxwUvP/Pfnc3/V3IUwGSI+/Vy8lreffuO7//p9/9iyH3Hw8/78ErCfO3Orm\nWgnT7jCwSURhrQKSDocrJhfIPZWBdN/3ZidsBr9sidhT7a+Wld9sWv076oO/mH3c1s7PynDQ\nJIDXcK9qfWUUk4VhdL4uxYFZFu7nURHjCsn573VUs3lsjspiVlaFOyM+1okTgOICUlw6NSi4\njKHtJrtf2eG1NAjlWxxq511WxytLVFn/7ZDQH2o1TuSw4IIgcTNrAJ2h4N+2IOBDvak3D9E6\ntqOhFowhWRPYtJaAisUysGnRe/Q3cgSZ7sazuze3QZmhZwJ8s84G1sHWeSHPON3vt7daXN2B\nt7d8b7MUfHViYNRuZaSy3At1Ba/aKIzTcoUb0Kx9hBjsvNuHngPgcGMxkw8FOv9QJtlHTpVL\nsUkClywrdpxvCrc3P69ApDjCcv4mfSaTZ9whZu0Xkgoh8ujm1gxpTEz1KP02Gn3qKTtqae2M\n+/JidvYnsAkYdd9GZ9ilI9DNOjcZKH8RqIimdo1+/y1lFj1Sl9kA+DUKyPU6W2sZLqHkm6pZ\np6kktK9SAV05tH0lpHD8Dt1/ZSLI1SarvRm9w0J86sQgyTLs2ZdAZgGSwTJ1IkgClAJI5onQ\nPOf+eJqEPUw4IMLeJBKhexdXNau6mUkcrkuhzIteMi5E51W/WXMzfGbmX+6vuQoeyvw0Bf0A\nKMNiiYoELrnVnLfgBoreVWsdosDbNKr+vpTpZUoR1V2kHdgdcOick+9DJ+/qsIILHdiuH5ch\nJERBkHrODVQnd6QVUDYCOA08Ow86yBjenVZyCezhOk09ZlMTN6q6Mrsa/Ju638eiFIfpHTQg\nhA6hj22ICXjIZAZnZOtrsdmHPAz/XmnunfefMyaKubQJZehzaMsGReKuMz2UgeSTepq2+ZnF\n3joxbPMzXOCJdfkGXPW5ZNVWbhVs4zyM96mtPgkgU4goZOoQ9KfmHou/rss04Ihue6gAhue9\n6yOYEBZYGA8RGtdaxeSw7QIU76lR12XLIgOJrN8u9c4OHQEbK3SibP0cmF9PFx+gG0AnZ13F\nkFWASG6o3DKb9CIDnYVb8END00wG1Tkj8AuCPrV4gfg3pBCaq1cHqaKHFPOjbxjszGdW7rCL\ntW+vBVmYTS5X6OjFMjr2NU8CVkAgS/qEOtm3OIon5Alga9FDhiNeJswlB31WlH3nEWQgsMHg\nEMh5IAsypFMc9shCBBEtbKjOWtLnIYDN+xYv8wwZ0l5luA+FIeHRxD+R/3u3Vu8EMhbAT+s6\nJGdyBBavxty0v9HbOjgHnKuZNh/+3LTTW0ynhU17CvFdDYpe030k13ooGgurR6yBhzKAkEtH\nsIfW1fP88CIOZcPSVoXVA9Rj8YZzMj7sRAZdemkM5vxyMX4ITJFE2Th4qAIA9wwsm1mK9cLy\nagxE1+xk5t+ZIO9qSgACD+tmPX9UYdkRoL+y56Hch8/SFj2Xt4cAJoC71CZxSBPP68d1+Cyp\no7zSOD3QKWYww5cs32owPt0/ezjhYK3mBLAyvxfLjyyLzbmmcCORGd9gRyDpuglcNvIdfceW\nSCkLMVl07aSLMQiVaHZuOo9Pgpvy8yqjkwXWTpkZze2g1UFkpusA7MjbUgx66Kohu+RHCOxl\nZRqVE9hkEzATsFlYTUXR4z6lBLKNa9zvNKCEAoc0jQEdlOGkyKHBWZRoY5ZZBzNl3C8eUvtA\nITk+sbMZuegR3VIvmP5eai6DYMppgPLgJNpdAg3ZvwzxsTHLeioEl7rf6qMNePiROnCBDLuq\n5pyC8tOuM6OkEmgiU1+Dzfcy+e8wxZy72A9YIobzATp4jShZsARc+QXra/OWgU3pL4Fam/PF\n+Xd2ebGDBed12SyKIlMjgA33fwAUnaxxmyXVyZeB1bZz6XuXV5nJoMM8FnRIrgaB4nbmKzlp\noRUcck6hP3OjvSZ3M0DQ27WcKpLxRu4m9esZ8uULxqzQIcci546hQbnFzj1y15liLsiCLJ66\nXAwybC82RoZJr64Hfu2lJgEsqnHFLnsyMrdATlnGbzl9hAUb7yuJE/fWZgU1KILLGepiO8cV\nkhlmFFCpwYw7J3OS3t0qel8J9QeXr8srCXeWrfNCU+gO1RQTuPzW499GgaSjhfpSlSX31sy3\nwPRnaNfWdEhmV9fRTjiLpi5G4dG/Ter8TREoCKRTRgCYXy97HGH19eoQ9IJCCVWjonkrrh6g\ny/IleKW8Po2+n59aGSqmtNBC1CBpBiRdtg6ANWxOhj7CUiZHZ0bzdGz0+Gs6EnIQsR/8G/2f\nVxnf26U84IwqWnmD56Ub1ZGKa+bxZ0X0/Z3nE0Dnd1cQnyVSkab0VmY99P3NEF9OPRnUUYks\n66OYcvx6oDza/lGdi3+nEyyEtnwiVy1Nr04d+bfSiLvc3X+NZTfU8CnKxWXXwuepmXXRnAqw\n1vFv5N2S2IFd0GUzK0RneeszYbuZ4Nk6gpaNNpe5FEFEBLB0FlAruVuFqCx/NrrDwqOWCIrV\nXuNRD+1q5Ndvg+Z+11qKYijVFvgqQF/5IZ0G+4QsfGZICimbI0C6XHyrKSqG1DXChix6Is12\nTDC69PQAe5vv5FBn5/L1IPsHqjzbwGZ6cekT2MmgNWboVCGOHVctLSiA0h5Yn0ArVrc/RQIg\nViK/ovOix+tgsvyy1auzNs6/oSm6Fftl1ROujKG96tWelN6HRq4eaz49k32cc2ijdamdQMEL\nAynDBQI7X8gpOZKhLSBKno25mVejQoyke29xpyQEbP2KeifPjLn4BHIiuBa/vlM6JI5GMvJr\nYsi/BqCFDbXXhwiksLvFhVHpZA8HQ8C7JIS9lDW7tCRsSGMsAogsmrdzCcihl400l3zHLi07\nANAfGcsv6WLKlKI3OjN0XIV9ujJvo9qRHpBF7ZFtgvelRl1qPGi5yVsZoT6Fu5UytSn73dIL\ncOfHZckeXHh+ns2a2Vi8EOrn29q1u8e+5XKX20ot5JJiB/VsVFouifV5a3VFc/QHGzAttRuH\nZlxJfZHL2Ag0+aUx2KVpwTGUNNnG3pgRyOkNsvlNkTjmu6E2iPybsna9v0oZXFKxKQ53BRz5\n8gwdgfbMsPxXli4hWL1Uhr+cuUHMvfoIpgIs4DyxI9/nocyUJLohkcpX6jBleizJcOnXmKXr\n19+L3VFYEymrmKH4BWHTZe8JPG+WARSGpjJEWcPMpsykJvEJu2ztHpYzzgrmotA3p9tLXeul\nutplGYx+m4MAngtsO5Y+gm7M3AozbrjyZ7WagaJYJMO5ft9yZz1t6cTQR3VMJb4s3TBa49/5\nGg/THPNvBKbDC9RVG+bS/rKhaskNApZrANmFubvCpvYyfPzsgROhkvVrdVxAsoJhZjKRTJpW\n4iQBNCtdvYUAcj5wePEAopT1q21QIsibbvduAsnEKRgSPsNtFj9t+BLKWQHSUa+/npUUs8sS\nQfK0CBXtZbMsGiHBVm5SrsqEGvOpiTSRIUcYyI3rO+uHNQpZZwKzNSFsw0zxFEQsgC4V6vYU\nwJrKqyxrIiyqXK3bQLINkyuoP7akRbl9gujmlm6mkEMBhQ9BH+Y67DMlRCVrvylATOSf/FjX\nXOG8d5O+FEp0JIIBOrRsGHqmOhsxQ7FZAqHMiG9q54QxhhvwEqIuvjV/EpmNqwEb55o4IzDc\nmB4anZjJ22eXTJP1KuROun8HtETO7xn9PefRXI1MIEPL5EFAs/shhB4qN/I3SCtLL6uHELRi\nvrYbAZL51QzO3saBGHWh3VcPA1vWkaXWNaPacj6crPk31CxRsmTO6gFyyeZb4WOmgloWZhJh\nO+ZQixIQVFFMI8RAe/IFYpUkEbRjHjfqALmyDN5NCNsxl8KXvwMNlF9gI8efMVR/2cpMJkIt\nkfWv3pbBbkx7zQE48/lp4E4IFZjhqS8RurJGvc4DadfmJHUCGao+uVtjWSYhNGOOV+E2kE0p\nng9BHaaHSowNljOXnA+W9wBthgTn+mOwZT1W8U32HZoxFdUI2exfY1UoEeiJ5CRyhhCUY8IZ\nbSBb640HRj9mY7LyEZQx7LWJRCLQxR/L89RUF5WJ8kAu9QnQO/QAWpTY4E4CFEIIezYlA4FI\nACCmvwp1mVt3UImNzDSs+lmYTNqoCXCxHxM+h1sI0rLDXBEgyMtuV1oS6mQ++SVcmkxMLgRi\nW9Y1hWRw+HzNswmhlUrO7UJyO9y+n7qkJhJ+VheFrFc5twFClUab5gToyhriKDfWGjAje45m\n+J7T+KXyb3vZl80WSZ70pgYAjFC3kU0VDLaZJ9JF588FUwPR4zn+HT4G1ZpMpujJ3LJlnQpx\nEpkIaLe/aC7QBly/agpd4CmhMGBTSCQVAV9/DLasEeoAbCAaZ/CYpHtNLVtVXO/uE8FEAtUR\nftmRkIhLkEBSUOxa0zwRtGPOLrGwRFC4URVQyJFu9vKnAsYc91uJ2RCMZpnhj9GW1ZZ9iaCx\nu8+aRulM8ITFSIEcUrmmh2EOd9WbctSNeX/OELUcFgofQazmqIWhvZf9mO+u9ZtirzmtDh8C\nAYAleuYDKCcSWClohkSPBGhjejJumbLqBl7JWDtuB5KGIfFGvYFX/s63Xu7LiQSbMyMs7Lw/\np5wLO/YqepkuE7phJdJEqEp0la5PBJr4ZLoLuHT1Zl9nemXTk9W1iEQoAODdK5BD0Tgm5Vp7\n1ZEJ7pwHgiS+t4kADvtXucAlgszuNaUyERR5XlZ/HkGHGUCqZcHOe/D6cI+aCPK7N1QTBHL4\nWuS8r4Ewk+xaPGGcTnUID0wlkaauguwORr1nu3r4JAQ169de20A25WIUQjfmd1Oil1urRCAD\nMK+SkhgIOgCjJqTW2JW5jnrzE5koVSp+b2wz6hIrIgLO1f9Al6UzvTrZn7k4ZV4DqP5MC2kC\nSVGTDDQV/jTancPkSB/r2BnD4o2POIitA7/06hZ2TCTQuaIGWkKoAklmW4i22r7SnV2ZR03u\nCUAGIOdkZp4Ayd/ZF7rLlnXWPe1SE+lK6QA57LEPdtEmJPc5lhLhL9rYPTgLsC3r9PlAE79p\nDv87J2TuOwtCoR5oAJsaN77yrMj0Y/pVInntYOtLRxtAO35K2onA4HBqY9k4vUKRQe8g7xxU\n0cLHzEDXiCUWE0JLZprfXA+81K/kV5dCebnucO8MJJM6bd2aA6JE8ZnDSwQWHHbpAABjqVdd\no2mClVMJAj1GMm3Il/WITgQEy5dFNRJhXriWncYvRQ2AOVtAEsb3+Qx2ZKY0rB5E9K7nyAxg\n25At67KaImy6pIP1nQ+1RGpxaEMNmaaiJkIxkWsbk4SQIn5P3Q1oy4PwwIEnZ5Jw93Qi0BPZ\noVUngZw8c8V9uyEWjHZdnslEcU7328fkPNKu+5kTgS1rlkyjC4GcSH9/jplbxDz9nRWoTOsx\nYwLksnP67yL9CMI8AreVKSQrR627IwwIuplGPRkTGWNI5ZCNkjJCqB71o3I0kEuuuha0vN3r\nfwDUjxb1Xh5BN364g03RAVoc6mOYSHrz/ieR5EROKmRpICSPYX7pg6AAMJfjvMbwG14mQ4As\neOQxmAhcWcMCz0CUQKZbVVNRGokAhn5aJtoyd+gBhGJSiISfCJWsl+PpFIBH+NzVnQokc0DX\nGgkYKCjj2+sYTiVT9AUgaBOJmow3U8nJyF7+rpUhet+75l462uGZ8jiYSXZFMo1qgxmBKFRP\nJG1Z23WfUkKwU7xd7d5A1N29demppwPvRiaOGvUKII889AgdJZbDqxwpVJAc45YxK35del39\nGgEv47I3hBCdWbc6VhNBdlnUGSFkunqiZ1MtKrlDD+dhrantWggPak221CTCFPNUJ1EiF/0P\n7ODTQPf85grSnWCwxHkNUBffmvdAWHJY3Yd0SGj1421KYxsbnIP1zl8VnbbaWRJhqvkXoZ5I\niUQB2nTz0a2g5x1KD/4qWzx/J7hJTYCCLBGqWduhKBHkm8c3/V3JidiVsaFRvlH0qHN5769K\nUG52SYRJ54pJUhyOSy6JPgAuHSUyr/UQgsNzpl04KeSzDh2AoWIzkMsllj10iUz1R+VLpIFQ\niUoRFMbmnUazaOjk+91fpp/bVvUhEYjZS3zzIXLofKqr2JnahSajfmrDu49Os2bgSGlYoScM\nEVlgYdtiIkhCX2sVAMENer1TyQl0sDmcIT0GGs4CXx2DRv5lF9pE2Mlf+9rcJLxTxoj+dvSC\ngvnCbaQUPjNTPXSBmkpTFagkkknockMF+Rrdlj8QW201j/WuDLRdaRNpMINxuwCQyxjg7478\nEQRh/LzvS0CWqFIBioUzIFeS5a9HZpFqYp5+CE1pgyhBlQh7zs/rM6SgyOu9ceYRoFnxcsF4\nCGX8vGyK29BwKlMpDwxn1rz+20D2US3LEKQR2ktLKbsYJEQ5ke68XyLMain/0gMBHmiazAN2\nSqY+uRKy6AdITf5RH8sbCRXR11+PmtVa4ng1yQQ/H4kwIRiz9uGfEer0r9mw02UpN5Za43pI\nmAhKkI8gTCW91WMYUhRxM3cyl5mAXt6vZyj9Uqq5aYPc6UnVoZR5hHTKAffpv1XB0r67M8uD\nqPtw79AhX4ENWPNXYSJJRbPlT6GItSoHitmczXJ8TR5A0LKuRFJKmWX6eVRiIrtY+o8KPQB0\nW96fn45aVrZGaiFKDzPKsPlRpXZOdsFqoe5T88hWD3UilBTZr7fHnfKHULczgPTzttJtIhSy\nbnU1uBWiBOsjBPPIMqs/kQVfKXsmAEH6ef98ObwUJ+wDPBDnkagXlbSgfHy1DejkBUHmUdMY\nM245TYQnBTDNUVHR0yJ2UPb4MSropAdlWnQNI6hmpWMVBdUSAiGgL6/ViVz6bvh6kCLU4mg3\n00kRQs8jY89OjlBu5E59Fxxg3XmeAOQA3uMsbV9V82ZRMxGk01En6/5YLonwMR8+QTIDWk3z\nW3oAU2YiiUCoHM03WhrFFhom0iXSWZVqR39TDaA29Imc8DP2CEIt67h7JhF4PMepeYOUIYg4\na+3eiMwyAfz3RfNASEC3qEXGtKFTVx60oZbP8/I40MXvTEM9gjarmEtzANt/8345TqHBFRou\nr4HFLBrm0QcQ8s/v92YckQXssQNkUe5uKpYAfSivBhNkD5DUsu6z3l0yiNCipOmPtI/Ru7pj\ngFzS5ZgbwEAgEbVTr7xoRClqoqdDPKJ51QOQCDLQy1XvvwNd8gbaqsBJXKJotTaTTATbsCMA\nGWiZNwg5UnVXJJ7OFbP/7jG6+ET9erPQSSjK6O/1OChmZdNF9yHQA9izAoP7r0RflNnqohQd\nKQ8lACrBgajFYyj3hOFyQUYrCpH0iAVJRdRFG0bsNM7VIcQrQqVOhyD9PI9fwUSo+EoGXBNr\nCcspl8F42XWN+bAOginrNm8kEZiy3uFnN5FL2Q7VRQLsoid70Vp9CjPJCOU3QvSiDJ/rlFHH\nOm7CTuSibwMdD4+hw70NuS8tyE/DzwgBqGNt93UBwewTSNw+QJB/zqre8KcwkbTa9QdpRsgD\ndH8VlKxD+0MOREvW1xeefRGgDTGFph1eFnObh8EsMmqxiMbNJLSajscB0wBeyFNItjd2qUTi\nb8h6nrrspBtBWZWWDwm1l01uqmcGJRth/8v8VD7Toe2PLiF76XNvM2kHBWhRv8FPIVlHWQdl\nYjKRiW6W8AET3H5rVD4JoYx13cEL5LI9UJXkEO9oWn4+EWSfm9u5MNBBh9crh2pQh6cEHPiK\nygs1yai+zigWtS99l+kS+kpNZ8ODVyG7qdhHCSR34eXbmAjmkP6qCamFeUjZf6EXLigKMOLf\n+jJ6KVqpJRFOIkdaDEDYXwcGEREQknpNqcFGEsjk6GEJchHgUe0vRxVr4ndxIKo/t+yPZeQX\noiVBUdsI0s/v+4P0MuDAX9nylUapcwlBESs0GQFBFasfVw+VFkKjBnNsMZh7zlSLtsEBehJ6\n9qauDulJEGodRjYNDjytsJr+wFXk+MuYer6OXoMUJU+/Qi49f/0zpnLP0jImBFPW8boIGzQC\n6bIeI4J5JD2frz8V7Nh/1WQQoioNtwkmgjrWFy1my2lHBcYvwZSxM9sBH0JLYbBCjRBf6Q5v\nAYKWsiheHg8EU9ZD+w4NhB3AdJgVpC3ly6T2sRBv6bz1u9hQn7EqchuPvEXphPXqAom7NFY9\nDEvaIiLYEdm0vZJYdELgLNxwEBeL+eevLyRIYerR65aRw9REAtBAmVfIRVmhRW46wXyqMDPN\nDAKKQP4L1s6mkyRCGtN6xciCaBsSyf9BMvs8tnvMAgTH/wLQFoEUuX66uExZEz4CkHzOnc31\nwOAv3Kr3xpaY9bG7e0KYSKI2jLFVxbLFNxAkn1+HSwG1J7hJ060qEdAYyjsHyKYerl8esZpO\n1C0VrWmwaeYRtGmGoMRgHNWxTl13MZvoeCQg1y9XTx9AQTuxtz7E5PPyBiBEbmq7frvYTVkR\noPofomioWY+KWkhwanTDIQBlkehqGwWS2/DmvUWAzPIwK3n9XZLE9y09IjbIOytnV2aev+hD\nLKcGAazHECrJrc6PRKdQdZ8IFPHfXmsMKSyIML+BMJN8ybIA2akfi4gBkJQ1LScSAckh5fZe\nzS3cU7QiKgM51P/zfRflaXeVv+NKyVql04cQexb1XYN6L5lc0GUeZD3hCxh2DtGeynD5SShn\nxiSPaWYbjMWb/MCFpKHUCJ3PIPWJ6W9/F7lPkIE0Qpkg9bqMV5nn6UrcoP8JEnweBVUsiEAy\nOzREgIr354ceicl+PxSpZ1WN/mDvDepD29Y9BZT18LJAT6QxaNJ2bZAGNdAOY+BKmGpw4hs0\nWoazl85HRKhtPhoQW6sOj4wiFhgizQOhipU7y6ljIGM9TUxOZItmHP5ZKGI1C9cDOcE4QYXk\n0XBzYcDMVXBQSyo3CWxbB4JpxDvTRFry9DO+Vr/QMC0qfgZC5rl/17CLDTHqx4MZRScBPT6k\nRmFrFz6GVSzrjyUCIWskcTxyrhNPRvPqUxmiR+3j3OogPyoJ4Qo4Rhcrwm1qg2aN2QquHoMh\nLRZeQNGj3u5tzhA/qq06lVDa+XimGbBM4m73O4jUiO7eoBFSxDcNsUHYiobnqi3glQoyjBXy\ngn9KSTBOhWmOOkWUN4DyVba1bQ+D8lVbJsFBUE+OHaG3lqSNXGBujUwd610zxGD9KnWxWOIa\nZEzhx+uZA2UKvbd6b6grmVOh6ldjkCgB2yDOMyJN7ekYb4g1NU3QTgRp59scVMBebJAnrrRq\ndv3rY0pwDVKnqHzgM7Svc/d3oYA17SvYhqb2nGTVSTqGVGaq6DbEoOrLMe8Qh6pfZ33GpCYR\nlpjhg9BUU638CVySiDz1mUZ1fo6BJWUWQG4hlzW27q+CG+t9nVbVnhXqTNMDo3w10eLxCAKX\nKhNDmkcm1PBb9SUk8DdyHpmU9VdhEknmzWTsOJbKV7fePvKpMpnl94J8qvh2Prn1blRC3vS/\nAbQpVaRodqyqX21/atBsT/2Vw5wqOwQmMkdQz1G718EG5Exr+kFgUiufH/908qqiVX/lwPbz\noaf0MoL+r+NNwiC1CqUFblUH7X71ypJaJfvwRxAzzkW6SORSzVVZ4LFVBf+WUfGr0tyVrHxA\nl1IJCtWGKFZyQyUy0f31OrYeoHDBITRYMh1kWWWAp5rOIM0KlcXuU0TOeb/mRqifpN+PZjDI\ntAr0zfhjmEbeSn0M7l2ihYu4g+TRCJpTPoIOG4iVBR8kXLWz6zUV42raThvIptXeVBU+KV4y\nk1KH7ODpQk6izggzyZF+FsR1UL5SZPgAAu+qDzV3Dcok57d74TyQpsnwu35XVq8yWaR94EAK\nnwqTGobUqxxXe4ZU93+Zu1IBaVAf/r8I7k4DK03AZY+fuh/GZfWqX+9qBtg6ORdN/4mg+egS\nPxBrmNRFU9ZlMDcOor9eGzGwbrUTKwuYKwVrPBgo87HJ9lc5dHw8rALya9s2WzkJT0mBzkIc\nb0MCJ8OFEV5fUuw0s81flW6KiLUqyznJw8qFX4/cfMnMyX2GJuu05WtDpJ1CJGPPp2mSiJW7\nCkpeJQJLZ8oM++tRvFrDvUMTjhb/jP+cdD4R21sju67Dv4g0WLC9gnxvbTkniVhwiQkDlLES\nPweLyKYwHlsEJnlYecFUKpriYa1TP6KpcGX/FyDZ/DW3jsFAVLK2gnkiIGKlogRjwEkiFn3/\nfIbLtl/+DRupql5T6mQJLXMBvhUiYmXTeB3D0lVVayd4WA8YiR67I+WcMboa1GcXd+LWLSQP\nKxNc2g/Azji9tC2RnwhyziscMSVyKBStnPwksZbtlkcIJj0ELbegDJxX82s6u5LO4ZrGpFcw\nYoTmYyhmfV5NCRNbns8dKAFrXGmqmdzsZRzv14CWjcEy7SOIWeflroopHla3oHIioGEpK0oE\nivirrI8BZdw8er2qQfKENDaFgIfVnb2SRC4UDBRdz1DiWSRiAHe6W1HIlmie72GodlU+B4Au\n/S6Wf70Vr7RpgEUs2SVUhQNy2EKHtpcHEGSv0C2jY8ieGM68ThCxrGInJMQv5jEPBA2TiHVa\n3Q4sE1FeCAlAACuVQV6fD0Xxdz32A0qc0NU6/hSKV7dKynPIhnXVvTANa/6MTDnr7ehwMiPV\nTvEqJ2lYyTvlsjjFwjrhuX+KhQX9TWZRJ2lYcZ1PkqXuD5ljslU2xnbYKQpSqEv3IURTZ+ul\nAoGaddWCtOTAaOT6mG0WWA8PhALWHhIFaZNErK4KNBGKYzVn/Ce3tkisTqZjp5hYuSHTQGJi\ndWvTAjkUSVADxqTYWAYlUkgHw77LYHvqGFSwXrOaE8Fssr7ZRESsdxQNOKFDUXClBeeiqPU6\nNXWRipVzqYJ+WWBD/I+q0egNzm241LEapgMsGmLkJbApKqQ2u0keVr5fH9IyEI6YdX9IxELv\nkt7mTQLFuN5b5eOlKcjLCIhYj/hRhljCqmTLJBNr+u3eLGHF92iS7ZlPwliaW8jEwpPATN0U\nEyuzed2nnCeW858oBJMCdckZguAlIRAoxCL5gxmMZfDuosgEEys7g9RvPknEogemnii2y/cy\nogFyWHlWX8k8snR+a6H7iFgZl2ggSGld6w8lkrN1Jjs8TR2mnnM3OguBLyYTvQ8SjTKUUlvm\nFBNrjp8PMfNcifhJ/XvYKLwKMm5ZOr+aEk3FsgZBIjRjLWrqvFK1bvYABIQGjFn3lWQsPNA1\nNOpY1/RDeetGaz8jo4wFDR+tRpep57mduZkkY4FfpwkPG0oQLZtHRhkroL/lcVjGaq4jZwQQ\nCBs9kYqMtbY2fEtcrMyR84la4mLlzoB3eb0iUFRb3aL9LYIpbm8WqViTFPBHSHpKZS+Mh4EV\n6x5+l9ZLQevjTEoCZ5EUZ2AhFl7LGcglItayUjeQw/SeamzZowx51y0ZtcZmTdoE6yIvUbF2\n1VaXqFhteHO8yMRiA5YB6FlnyoFrSHKgBrU0lBVcZGKhg5hP/GoStD7/elyUrzpYio8g8ics\nkAVk/1L7VuNEMqu3ajXJbrFp+CEE5a3sgGB+f7GVN+Ps49+JxPPpkuBBTnFRhNmFldVlx7qd\n3FjsQkMyg5Hd6vRjtbRhAjmNQPxn8QVc5GG1YyUedIdmLDzcprTEw2qVul9sEYxx3HGzOhX5\nsl1PW6dFHlaA0+aRwcNKCZ/mc85k3bFUNAwGG7JTlfdeJGKRDiQA00gW/XU+omE1y8UCcf3q\n6A6SSBGtZv4lItaw+imQTeE0dZEt8LCg3Sxi8fqYWMqvJCI7VpH74fw3P2+4BNZLirm2tSsk\nyrXNlVjmYXXKbgBB2jlJrYw/FmlYudPly46BsAeyGDuAS5qTT3BIGj/qYWEeHT0IpHQv8LAe\nPFHaxS4Rsfr2VLxIxGqSRRaS4fOxYXMiEunaLmHRRARSlNNfRpkuicg2bXlB0dMzP5h8Htee\nVuwCm9jqKoJdJGJh36bZhjysfMa0C1jkYQV9M3AHmVFCSMK0g9RrkpXPbdsCEwtykZ5CScRC\nAkV5nEUmFm4cU8SLqvBdpT4iQ36bvhhiYuWGQ63Ai1SsWdvYRS4WdIe7R4Zu17SlPZCtvk0D\nyArCkfkYuZzHlJ5aZGJhw6tZi5kEbn0NoG0jH9BHiHlYrz9DHT9LuQHBU1hZP9F+G9zDSYJY\n5DEg/VcH5UTyaTRhq5gCgGWiDs2DLGC9XxQDGYTzW1Jb1AqCq2r9jJxJ2q1OnCUi1moV8i8x\nsZAqxjHsashlW9z1xd5idEDo/SIPCyzkrieBRCzlfXgMeVjf6sDXCrLG28cM0QrDh6AcCWO+\nLgQFrJJvS2S9U9ySZiQ1vT6Vh0WB+wdqPcsfy5kkRjFDF3lYGR4pEbBIw4q32GSLlmTQ58Sf\npE7kN7JySBE9ZGQ9ZR2ZOoecSxIBcwJMoOOBkH5uy4XURbHhTMmoC3mRgwVZA61D5GAhsFTJ\nYZGE9SW/F99XGKppxjy0UexFPV7kYIHK8WpGEAlrbTdXLpKwwILXvHZUxArP6VfqPeN7DsTC\n6mGJnyUW1nSEuS5zz0nqUZRwpfblJtcH0L5y/Gw6aCAI/m4OWFj/fA4IQFLxK5WPlIXNXnl4\nuJqasNhXQMayP7Wppu0AQCysfAfqR6iIdd0KmxAkabuJSJs0rE6tCyOqoE8DWTB5cmes0GaL\nhVVl0QQy+7xqI7FJwsIyNHwMtQBf214CurI75155k4WFfhA+HJsvbIYt6ujbImG11+rXaJnK\nmaSsnBpkNJA21BXbImG9y/wKSbtnNRjebX9w6+DqnN1rfIC2aFiZFdZAZGGhFKu/kX8Ol74e\nQJmAPqW9sln/g9QvS+G7eSLRQ7fFwQrrxyXCKlZYuTkh+qksb/h340wSxZDZ/M3cDYUQVrGg\nTOaxQcLa9jZucPI7eOqUbsni2Dsca2xxsEav+HqThJW1FbH2NwOapBH70eh0VontHe7uMnXu\nzO7/qbRdF4ucCOpYENU3MmXJqHRZIkmdOKhheiDIBd7rFOwWDSsstwkELKzhvc3uUgJD08dD\nBAnod3hu2eRhBedv+KI36FiqgL6jHJ19eugiljIfm3c2zBrzXFQB3aESVnVyblKwUgxJ4mab\nNAc0OygE/wuROFGBeyKpYTBer66bFKwfzZJNDtYDE2dOq1skLBoREThswtf+O10PX4lXhQ/B\nLBKw8OFlJwUL6zbD9C0K1q7Whc2rQD7TFtKtwEMJSUCX0u0q8m2RsFYJidBCOC/9qkMy9Wyx\ny+dPta9mRKkAew9Vw4/ZyZscLNiNh08IhSxpkmogJJ+h8+OBkHs+JcuzBx1YeiWMNklYvVUS\nbpOFlSUW38NJDbBbxMh8stNJcUe9pSJhScxFA2VKDqnr64NoyRpeDPakJetwG7sEa9FbsrgD\nsTNT7JrVRcNq2lBvkrByGNUz4cxER8+ozyA1nBHH97tAwuqV9tokYUXcmtnAwQpQALeAvAdY\nZNRov0mIyGSrGJ42acqWZj3j4mC161BmszHnCa20hCgCVpzUzTgsV/xdwKW6pVpfN0lY5yXB\njgiTz837sU3Hy0ziKEu610eemD4fTCSQLp8eKFPltNYBIBJWdwsdwm+2jUszabMyh7fwsHbB\n3D6m6/oU6lg592olEAnrvA614Np02cilSh98m6gyIzKAfJug9bmMuI4lVYe9Zcp6inUE76YU\nMj5OrsK7SU/ma8SVLO08NzPnmW6RA1zbYmGlnrhmisNK1lucfDk4QdWBwZYsnEL90BoINKxZ\nSZktGtYJt+jDxWmgPup5Wz5OKY1864zo5NQrnDiSFNxOou3z5Z/1Gh6VstwshoFYy6r6sf2c\nsC+dQmjMOushEg1rLbG3HkAXEbt+hiydSum9ydMpL6wiwk13eND/9B6i/+uRAooQ2LK+Vlhs\ntHXK5Lz2dvJ1At/2NUJFwZx3HiMS69KNpyIy4o1CMJnEdasIrZ2QDM81/yEEd2cYKucxSGKw\nBKOy3qH6OxjTHEf2Ttj9Seml/J26xQsPiVit0gAweFp0MOAvP6+8XUyZfho9nvix5oNg8DLs\n4QREBs+KL2DzNBg6+lfknjHe10Htj8+TCmIyeopm/whIuoGIdZw9SOR2ldcZOJ1W1qwfgtnk\nDreG2O1p1PYBRw9ZRPlTKmNp3YPfE40zWyE0e1mur8jxKYtEKPL8KYXaDrsDf1dWP0B9Yhnr\n8IEE4V/XULZP2ZQs3u4hFQt9ylwhDqhY6PFqHucqhPYJdaafJ9MIDyHMJcke4ux/yMWCPgPf\npiMu1nYqELYmFKo9UiFKCJ4P3RGXDKCyR7A+RfsK7bxPF3viegudbZvZgwwf9O2DIOADF1D/\nCNSxcnfNFfWIipVFkenfcPJCYXGs3446VlTKFTZQm/r/euxoBDVev6cwgspcbi8lLhHSuOcs\n5NB/qD4FBsW0v3ujIxSz8Z0L6BET66vtHDYd5BSlvDpcoSSnGj7GOmBTXCyZQ4EmsXxCKGRF\npTSOuFi3+pPhgEIKxVBd5lBDW5AR9JR2p8QOuViQl2AwdcjFQhZV6gJnqJC1zEg4oIDmZldt\nFTaK2qX0ecTHUoL/ITQRR1dt9Az5QvR6PgZz0PvW8yG/qPGvVuJDPlZ/Kyl9RMdK4vb2hzL3\n99WS4Ri1TF34g20VukTRrcQI7JCMtXfdZrZcRlm8NSk/xvm+aWJB5Jo1/THMJWFBdmyVISq4\nnAo4ImNtd+XAOYoqLie4b8xG+8mLqkjF5lHSXhRyZKN8jJBC8Za6AAykaCunEF4mUrmlUSai\nXKSOGWRHbKx3VJR4xMYay9vdQ3oZaqOaXcTGimXdjSM21n3t4Yga398pKPtwtRAfsrFgj8TA\nMRExkJkeOCZj0dr6EQRZQXfcH3KxUKnuRkCjQI7VAIpZrgc+jbZSpMayLiVbqcB92kbAoqh8\n8iEdKwV59XRsmUig4bUZSjuZqHYnmUulopBXvq1qVnPfyZHPEvzfpr8eljKjBKDkMIVjSLKV\nxRQej+OBsuUUi9g2Aj5WPlyMyA6NmCFQvD0OjWVKkUo2U0/eeWWPj/hYzbsukI8HRTmVnkjR\nCbCQt+MiWU09cIDtQoIWK6qOHL60qXyxCwCJ6zrQhdnUVYSnBfSonFUBl/2mRtTvIh/r00Y8\nNHOFSmZwSwzPKVqgawdK0yn0EoWHQTULKVqeDwlZdAPQAkrDShQShw9CHvpW3szOU1HlUFpP\nfRE8B0I564aTTjCfUp1X15lPO6rGLJTJgCq7KpC340CYTuwlgF0bpAyqOsx9nGb8LSQzeOCk\nLEb5R5SsbNPoOuayF0MZuUtCFqTJ+NTJrTN/+/YhoDJnAp+3Sz5USJLwAb+iY43uCfmSjsVH\n9f/v7F16bWmS67B5/Yo7bA76U2VGPqcWDAMGPJDZM0IwJEiUJVwasGxAf98n1iP2/kiODKKb\n90RXZdWuyoqMjIi1lo/BegfmivDQyEKjF2LawvY5NYlKARFSHXUScGrp69VLeSGCmBULZcWh\nSEUJXGU1LUlV7BTtGpDVi0LssgM/1IMly+UGQjUUyFLxK9D2ysJUCxAPDwRiQWChfBorWlcb\nJUhTcQd6PAyRFEzF5TywONVpZg+5BGRR4MsDIwudnRyv7xlUYPnDmAcGxoQ13dfDwJG0Qt3d\npmKWfe8VHms29wilJeVtIHCrcboYfIqFwzJVolKWxVRtjE+hUzUonRu+WMY29zg/cBlmkM3A\nw6Ca1b8vBSKw5EAXxeslHquVfEy7XRI14VZGyFVNNiR5HPiRwTbVhyZUs7LywRRCIuwyGNOE\nYwN8VpxUrrhcj2KGcVSUrKJ0saK6G6xmtf0ZlsWst7jmoFtVv0oW9Jb1eQ1UsHTVthpLY1tS\n30UEdg3IOsot3ZBgjcRuZTpck/24BMgSxwItqGWFucsu8Vgh/Qk8LjLc5VwRu6MkrCBb2crC\nco7W5CtA1tBays1HQFOiaiOQsbqItRS/WsdKYjK0AJE1VQfmQIRkHcNVLxPo7QMmvExPERJl\nwyY9MGPnqwAPG93jY8ADto8359eArOlhuHPOhyFfLU2rBxxW26b0Igkf0O74Ao8VxbF8CccC\ne4cc32QG+oJA75EJtawsA8g3E4+FJ6AHT0AWGn/19xIhNzIO1CNfAiCrqUnSVv1Y0q5B2+qX\nt+wyHAb3puHIh5ssuskpq0e4/pACh6Jpy1vl+quJKnmrVftX9AFkmWhWZidNotEVqBMSVwcu\nTHnHSzzWauXliMd6XKmnCZo263r3A0EIthqEh4GkTWbLahwXsn5+6SMTJG3eW+um8Fif0PCy\nVAf8KqO+yyaIRinOx6ZFbWbGVBK8QiFFr5SYLOIlPA5EwQ8ZXx+akIEWmEqWy2KSV2lhsno3\nccHdqmVBGdoDIQXdK3eR0lcUuld0b+mrDFO6x4EjacJ1k7brTNKpKrWUYlc/axb+n8dBAnoW\nXYb1r4ZBLE+7R6I2xxXLK0jWPq7NgHaSb16+jsLuWJf04QKR9fxpehCRhSbWsAWaNst6mrBs\nMp0rzwYhLImYKziUFBaA08enAZOV4YweIjBZbA70DWXW6eli1JVpswFACTvpYWWaXPHjFSir\nG45+jckahg5DEmvg6+F+6DI3DfUR3bEwWePUxwNMFjHpzOtfwrLAXB6+FIAU1/J+wD10tsB4\nHSQqC3yqTH5fobIiarYQlPVRG4PlEsOq3bIYvbuA4r8TKQNYFrYfyH3DACBFaLakhXo2rtb2\nl+sNni1+OywgAYO6l08zpSCdUn+FyupO8sFCvUl6sv6+IgGb1jczTw6EQPHou/Sxcj1lCQGK\nUoNEjXyI/WXSC3VVzl+YtsCC9cuoQ+HNYLc+1txKecCyWZKg3hyi72AKn5kTZ/P+mWXDj3Kd\n6a9wWYuqjpT9BaHgcIYTCnaL8pKEW0AaGERghsvDkr1gIZT70ymPBcH46UMgaNONzIdFlNxR\nxwBHkYGor/TjQAiqPfUswAM2o87qH0GbcWUBjCLEDwfDyWU5wx+E8l3iWMNt+d3iWMOlEyKN\niHhik1B/icnK2aOGhA6WDjY7MVjtFsfqb00xiWP1rW8bkKWMnU1DJROILCWPicKBBG2aT2Il\na8mp99eYLEG7KEP8xv3KEUMT6+UL7JqqVMlK78MsQVfFPrO7/Ja7pbGWc36wZPC8u1pu+ytI\n1jL1VVomKi6MVTuFsYgv+lwKZay49QmwYd9bOVoy/YzE9JEhg9QHdAbbF0dRfDtx2S2MlaXr\nzU+JiKzIVrxjQ8LIs+r+yJAry3i3UkpdulifXpZOYSxsKD1XhMeKabYugI2TjTt3f8unIfmc\npYHrq6OMFaemmABZWci82wMtdiQTxtUhjLVw+Xh9+dxrRmG/unSx4DM6VvduYaxsP9SnQ0QW\nwsEyZB0rdr0vCqzEntwbArRoPkFSW3fqYsVZKr9DgS+1YOctz0dcWHIQvd2GBCHj180lEyri\n0wIK3bpYPVTgBG5uqV3z9bWQqZpmGYbl7j9Nb8GxMsbt/qEkApv+trg3SPBTp2QBaot51vuW\nn1vi7zlayfsrNFbGezNkyY1i7GGBzTQB6zprrVjCUFhTHh1hmXoO8z90yWLlWiEyd5gSjRWf\nB0Q0VqZjGbwDhtsmgUN1TO5+Q2T5GgiOZLlHMS2XTYLMhcMgWdlXXnVTtPyKvPBBnx9Sz+L9\n6JbFatNfl8BYSVg2fQjAWMOpBVhS7JZR+JAJMIppYW70BuJT8vQmGotTb8sCEAUn/mOTxMuH\nvNFm3jkbqZovxSrW53mx10O4ew8EGIXUGtPC/Dtg5+3acoXC0yMUHCsfYeuPTF1as2zGhuWQ\nBpEp/g5hrImw4dXazoSPwj0PBDhW3Fo8j/RsXj97obEsTQXDYasTvtMHpk12jpgehWo2R+1i\nTOawQvS5QeSdr/vOnkxlo4iVT1GfJZng0NIQtpAHbJSvExqr3z/0MC5lzbGhUiBx/9Ay5Kd6\niaLYs3zLlZ7N0a6pv1RYfj76bEi2Sw9gLg+01Avmz5t4qly5HQ4JjQWxmunTWMV6lV4A7JRA\nbcbBMNz1RcHWLY0V6GR8ZIIv2RbYgUW1ZFY9oeae4fO6/mWNqjW5rwzNKYljZS+zFlSLY4F7\nyadJl5w7ehgOW3XzzT80UYZi0NN3S2PtpfbiLmksoHy7jyEiK4xJAGd0oxoBdxywHPh+fd9C\nNabbYpWkSxor43ICcfjIQWrgRsW0ZCIWGN55ZEHu+V5t2rqksXJ3sz4DwZssS5ukBUiKpJoY\nHnpqL9w9MnLPZ2tL36mN9SC2ihoHlILZZDN9EDFZw1FJIygrkztj+1qYBPmFc/PZrY61PtcX\nKAuMlV0WRKNHjXkd2lg5OXcTTB2mqwqmnodAWWHiui51LFLy2JBrWPYHs2EfINMEUyBj5rOQ\nfG5vvXqDsl4vvNTGyg9KogW9dWEpXlXRYDnk5Jwehsnnt74DgrLQWMqFRuJY6PENHcIaliX+\nEIpl/LybgzRIY+2iMqEFCg/NIK0ucSx41tts2WTX33U7SD5DvNfHUNGmOenQJY6FPr/t0+xM\nuImFbrO0ZeWUoI21iZFnARHNVMHmrC+LWsH8W4XKOibkAx1u6lvhHXIZa+zNTIs2yI0lm5zk\nTDp0y2OtUa95kCch3llfL+WDoSk+PBClKCTzTAvdm/a+ksd6MiDeHgawrNyMM3ZqRGVlnlFR\nWfIHox21q1zQGxF/iUz48ZaPTQd1R4U84vkBw5we0FQd63irwogENAc36KamtChEtNYlj5W5\n7c/AAX67V71OaRlqBWNUBGLrjETzi9f+GPpYg293eGg4k2yj0t8gBLtu8YcFbLqzXPbE3id7\nGLRBzf12tmFkc/7rYwDKarccCebWQ1GhUabcir+mBAJ6JoNozPGQpbMRg307XepYT7xTVSL0\nlUx2syguaYJllZoPLJmBXpYC7eoce9i5sGUiLuv1JqMZlqW6Y29EZWXyncWJtGTom2HpkY9i\nxg39F3X1/NTYOsCrE5UFyJumBlFZkOydmlCEh1BCwgcBTqGJLkvuxYcT+5RmGupQXh5osASs\nKLXtglMovkp6gT9J2lAmmW2t+cIemTZzbcoXNAKzkBQ/HpqVrC4VGVi08qlxvFsf6121iB3U\nEPxpE5cF+kjdMeuzqDfIjR6WsvLbYQ6vSxwLUNvugaBpk59ga7YATeGyEDZNKGWl+2q+2uzk\nLWdhqFMcC00FNQ5wWa+JstKywaabkf6w5bAFpgzwI+m6tTQJlTUkgtHFDNpJZszXJ1iWaHFp\nyfwzkp/XBuJaZxlQyEoqrSnHIlRWkrQpbhEo65rjFZr1llSXA2CrOBqn43gg+JHib4FIxCDt\n69ET5DzK4FOJpMYOueZwkAOxIj6+Drrvt7AdLBlEj6GiKxKZoU7YxVxgZkRf+mf9NKljpYtk\nN1+nOlbcivv7B5elvv80IQWdPXxcZBPoTh5TlkK7xbGOQWFd4lhgLaqLr45AKjw50pQb2VV+\nFCysh4WPYUtWoV6rv3VpYz35K+SROnFZXQrWvwms4MaIFQwYDjci8n7WxlrbgMVucaziqoUF\ncApzQXfRX2fwp21HJ9NOejsRgvRSx2r2ZFLHiqxy05V0ArPyc5q+ofyuh9IDD00UVZ/ac0kb\nK8TuLkuqQma/ao1zpS6LhOrDx5mNYIl645eaFjJjy01IHgu9hVzxO8uFQLn7kJ5YYfAgcn/V\nWcQCrJwhbCflaoQ6l7vVsZLpgV9zJy7r6dfiFDAhgFZ3OnSp2HLGHnI00ndq9iqMsTbWRkv0\nIxNgWdPaSmhK7f2fXT13kCl3oO0V5LHI5v3zwB6ZUMsSBFGWQ+mipnsWNEvarb2HlCgE0Hto\nyhR0G3XThGZBrVRfCpFZoFLTqyAyK+NMeAAOhBT0DmftMsvWWGdV4lryWEhX6CUTmpXFkmBe\nvxObleklShDBsrkJsQsYTEEfIyG71bGW0SUPTOjXX0IPoKEcjWBDzcNpoaaNG1hhAZ1uIR+7\n9LGG+WlhuEv0MVcWVrNWebuhataplzGo4QaWa/pf6WN9WHl6FzTrfvzEKE0b5YogkLUfYVU5\nPybBFGfXO7NCVkgDNy1N+3GCBvHNtiupBK5QUMhipXV6HJL5jJrmhGZlFkxxW8f8Eo7nkQV5\n6D3KbVII4qN9AQv79LRWSyCL5XwGHJ3gLPQPXo+DatYOh/0JW0et3ji93lnqD+xMFweiQFb2\niTQfQ1kbU+9hUr4MVfxLUfTsAsV2imM9FM7VE2QpB1DY6YPAC9a7UyxdwKw9HDxAHus8yvJ7\nIJMM+mbgS+ZRsq0bl9VrlSEuq6PhXI+dwitgpV0eB8Wst5VTJzALXApaZoTMym5R5YC6oFmv\npVPQZA00sivM3fpYEpqVBbwGhwwev6tklrUO4tQQ64gMRtXQTh3XDjClDEsJwVw+H5pYzhoC\n/sCy2SmnoLYLmYVdTJMF9WNhBh9a0NT+1jcoYNZ66/UQmIXdy1uWrVZ8ZaU64xHoarBWZX2s\nZTWVbn2sRCh2Xwz1LHRpDw9Emsgh538qE61QSvJYkMAtQ8bCcdSVizo26LkTeRUeB4no+Dig\nw0T0nyxgGMzuBd4xQVlPuhbPTIKywEccMiANra5MWpCFju7EXhcqa7yV8y5xrKGmn94/sCwV\n9zrb2VGG0Op9pUdxDIfu2qgDVakFncCsIonHbij34tMAFFJTdjUqySVcJqKjuTBngSxd9DcS\nRCho9UoFBNdk9gLQSQUBTyCo4HMNYj/SuehjoUQWIMDL4wCZNZUdYCskalqrOVIJKmyATJRO\nChJZhFXK4Vgi61VjOQcCLVgx3kL2PMgq4dtBSeu8zsEEFT3x4sPHsDQOCJAtl9ASjkpYFj48\nRtAQyJrcOb3NFiGLfzYfj0xUtrHWDdrmhEQ8Pgs56GZpZmizoR0sqnyFF4eEVB8+BvWsVimO\nYFUI+93lY4ilOPzcyWPOLPRw80OQ8wWUH9s/9fLb9swQLGuZ5wUCbrmKH7PTIOGYFLnbng4C\nWezCZ7NKt0DWruInBLImU2+KUkKorG6+BlD+BlOsylVk7he0YNY46tTIEtPCtIkMg6N+l4BZ\n2VEZviPwghWJAvo3c92LBAHWHaUrSUCyZ5iAWfkNcdMcAmYNkzaxS3YIIqgZHmQGszpgt0ZW\nEtjTAYWAWclmRscRnPwP9uXDpxFMsRwoRIjRx9IfXXSw6L/uPiad9wMlFD1+QbN2cy4rAKju\n1W2Fjvdc+F6z/3eJZGGY4FIcQmbd2oQFgVk5zZTKh0iWXv6VASWtDAO2nItEsiBZ5nEgbjPM\nt4SIjp2A8qzQyVpERmvzL6EsEEPp2xAuKwtG3eMAlwXO6rJkGjqbezXJB8EUI9TR2CWUhYRl\n+GekP4g16o0BmJX1Im0gIJOVG7UTNV8ns9CY7VcWeJN1XQy3TFavbDJksg6VdLbeKn8iiAb0\nxriWAhLva4FjcBlf2yWTdQBMeGxJaFZu54avtcDT3WsqTCWhw/lJyWTlLv6SxLNLJwuq8sen\nkRuscvlpEQKYMVAwvYl+CXIDKbVE4AY3K5bJOkuRQRiXZXkQpApf4lk7uylh2qwUNn28xGUF\nVKQ8ECtax0t6AJeF2UchTS/AKEZ2HQJ5m+kO3S6NrC4qBFqAy9qzFksAs54vGBYAu9kR1ntN\nqV36NorJrJPVo9wLgFkPPj19YPzSCdiYtiREsJv6HSxzk7y1b10rfcnjLiaZ4EyWyyFBYBbA\npnpj3LCiAXB6oIWmsCvSo06hLHznDAitk7VHfczEZRG16V/KilbWhTmjWHlMr61SmWSyskNG\nAXuwq/zD0NtDsCw2KkAja7NNQhlVaGSRMUIbdotkZSGl+0KsZ23naiGSdcnXp+Q6RLKIfa5j\nIEtxe7kogrJAynl9UsYMQOl6+Wa6HsAk5guC1Z7+aVkJVnlDnx+TFkj8qd1JLQ3oItW1Bcla\np6bFxawOgB63LABTHKQqPBDkbVZ8HYRSln4eLVOsBlopkep1/zY+v0swRfusMGz6QO5hehiU\nsuLUl3QFppAKHAeivE3tHYKLL3Y3nDsSycI2lyv+ECYr6W34HQ90eCAooEeHRBYzkdq0ZRzf\n2MapVjhJZHXg1X2pQYLu7hafQUwWiNy4xx9EzEPRefo05KABh1yyAPtEYK8tzFV+TqKq+vSn\nPpg9Q1M01wqIZDFJ9PM54w1aJSsLjceGy3LgsgGIrNldOE9JrGBmffvvnFldaHCa8ouPWRvP\nIUDWjbobIrISFq7IGBJZmX1Z4SrnYD+ZMdyygBfM+gh9CJHVa0M2gMh6+jBJtBs1AF5kfJR1\nJrRwLCdApJGFDb1uGpisdKDbWZthTFatJ9DImoQwM+a3RlaWLpoHAkEi4ly9MICy0NbKjObo\nyj8fL0Lg4ApmRoevTnmblVP2sWlT50Hf/xAoKwsNPguVrB016Vg9ROWAhOZdIlmZwPRP1Utm\n4DMIygLXst4NVye0ntKpQSUrHd+nO2IIlJX7q9cW+BHQJNtwRRrLxNwIIi8++klIOXXKVhMl\n1iWSNcwB1i2Stc3amBawgk3ssB+bAMq6XsmgkjXhxFSasErWrG24VbKim98QTzfJudd1iwBk\nsja7APQ7mGZBdzv9o3SywHfVjweCJ2lvfWBD1SyrhnUIZU02EzUPDW6we8gIIRM4Bo126xbK\nyi9ET0SwrFG9ZoMwAZAwK9c1UOWDx56+GHFZ1dZuoayMsBnxDwKzgrlYTqkpNIV1i2BRp60W\nDAllNdPfdwllFWfuA+xXEusqvuEx2SfZX3cdDioKRyl59hLKWuX4J2tZEBTuPgi1rBFezAe/\nz/ZW2lrsKQ3SBzZkLQuEItfHwJfc6yrZADILfDjcnw7WlcE+OnwING7eRqbu3+WLkIrVUxUy\na1hfC73yg2scKReRiFLsDBUWmQ42iP4yl1xJKxdAZBYSwHVDQFN0ci8/NFFVfZb7pd+LUg7u\nksqCnHFdDCI3bVe2eTAFcEetlhvp57PF84tNcZD4z9+K1bJe+eMHOmhLAsj6VonMAnKu+TRk\noNNhMesw2CcHvThF6pLLwhI/fUNTKrPKng7khqBJo5dK14fYnXEThY8ebD3VLS25rKx0qjYz\niMxKStwtTyVo1jY5A6rmEz0Ao17rIaICJPLTFnyYbz00QrNyedF8ITSLiYDjoZGDTq5+tiAM\nFhmJPBiyUCyrWmsHoVnA39h3MPSCezi+PHLQt1Yaso4jsx++5zNM5vLIcl+yrPqIK1YVBcuD\nG49eyk4dHWZMOWAn/NC0zF7h07oau9S0L9qwjF38nK+U1Qmj0EDMQFfsa8ksgL+HLCQaPG6T\nH1eQCvo4DbTulFavjgGjT7wEP3brZeWeTV+zoFkjaqm5qmVFQSqUfciNixa2KWxWt8pCl2IW\nG2uuLKhlwfvz10MyazIbvGVACvqahahbMAtMs766/A1a8n6X3B6aNtgrMwnNAllvK0vywwwv\nWNLL4urI7bsEs+Ccuu8HIjeQSZABzGBhYhxwqmUEfSWETeFTlLKWv1wrZonWlRYCs14BONkv\nwE6C6YEj8chYo4/HATIru3z4dkowa9QtE5k1Yrj7AYJZPw59ZFGfCzEUs35efO6N64aAzTpN\nn44Fs/rrdrBJaBZIHJXCm6Q4STIVH5K+KZWN5P0klwXKaV1byCwA+x5bDhPkjFwmg6qvBkxE\n+ygXqPInsSwof1JWqVstKz9KbtImgVmg6Ow+DZWs5cYhaGUdJFOFQe0Sy8pEqSdhLzeiDeEU\nMOuamwVN5ebl8sXBRk9UCs8SMKvX3kpiWUzld1u26BuYpIBY1hHdmscBlc9ohrtJKyv76ZS/\ns1bW/HyAWRQAN/rVc6dKAybq9sUz/Rx9uq/BUlm3gtiSyso8w/ZA+XyBcw/fISpZx4wOaaEw\nRS8XIWQWw9rHpstJqIdIbFa6LHXhTSZDMzrXTBiiBVtsQ3lgislF+PVJQGad16HwFDILyuq+\nFApZ+7XAFnh2msTnNF2AzIrlNOVktaoV0Uhact+DWrL/TihyU6WcpsxXZi+WVhgJZX2kUGAB\np0G1F0OhF6iZ6nGDVNZG2l+JEyhlRQHEaYG2zdi+ISYjHghkMdM0p3TVjWbHFi+j5+zV5gKc\nrX9IPa/y3szQPSgPy5DXnre+WuKyIHy0PAqKWNPErRD+phIKWKdlkbSNIq8pXNasZLCUnfrX\nRF2SVb+FvZmkW8Caz9QKVbJiCaOKv5MRLB3q8hFAUqTnJ+UeWOE6tW/rLEApbnXhWyMr5w63\nKJOoLKgNkKkdJlCCVRZgUnYj66IKyyWal1+p4mLLZG2DaJ78pEEJJgT5b+4MwWoZDtQhk8UE\npKYPA33Qxr4+hHWs/lk8mKaLVhvEaWCWOf/SgsTzpz8KmOS8LyvydAllASZRlwcy631rjRYy\nK/NT/hFAUvRD4XaZMnY+12GxZbJeV2QmcVk5jPLOk0V38AWTmBl0Atzs+PUQlpXsRIp8rJJ1\nzcvcp2BZ0LyTYzklrP4ZCFCKzLH6LIpkVUFTIlngnNW+YRKYBWF0vUHgslosF2QmQxfQ/crx\nCpeF1cgnXbATTEu95jt4JXOtlOMULivfjj7cSyzFsdpxp0qW9EBYD5dKFimstixI7N7yYwJm\n9e6NRFoyfwMtweuz4EmGtQe6VLIgOFkDoYiVlJPXt5i/+iH37ZCJwuqzAhv2hQLtPzzQpYDD\nOL4WoBRnUsjzN3YrqGI1yZdiQ9MpDaHHIZ2sDHCVy7FO1iE77/Nb4mmDKQdOmLRcIrq1LC9+\nR+i19ciTrHxTOz8pZWE31j0M+cCuQjEIZV3KNfFZLL5vbhtkOJTXCifIllBZULXwOPkxzeki\nNWSyNkUFuN4uliwfwMp7mTbb/bQSWSdrFY5/cYuT3QoquC4SyQMoqBT1IjMSWpYYJVgp61S3\noZSyXrPP9mVUFshqHpmApViVKcCyieVe2yoJZSXysPvaIARDbMfWZihlsXapSmXKYkkeUkUt\nCGUdFv+GLY0bHb2bTmpBQCIYIyxBstr+HANViju9C11dqhTFGCCdrId4dVmm9Gn1KS0hsrKz\nqXmcBU6VQpeuLhzFW3k4CWWlS1AP4SIkKznolcVZxGQBY8OwarFsBmC4+CUWdwu5fKqoL6Gs\nr+aIJVRWLrG6I6KyyFB4PBCQFMvcwJjI5BFT47uEstD32XwtcAseqkU/NEHhptW2IC2bbe6v\nB0by+dRKJKWs7GOG7+VHc9QG9jmI2efaqS+1bnCNWWys/2pNWgZk5Wf7MV3qE7w2UN/munMW\nKllsX1JFBipZqbswwolcymSxiVpfxRCvYCFQF/FYrZBea6iIdcxga+kJfEv6AAXImsMFvSVA\n1qi4cxGQBXz42z3QhTTkLtc3iaSIU1+7dLLe6WhnAZGV9ZWg3oUz7KhTLx2C3HNGCQxEFzs5\ngZCRr5FMVlaz8g4fTjYgsrr7RpYRWUvFcGhLonVsmwthTVGCLWLyOdCms1GiZxGThahJjo2Y\nrC8oJ4SySCnO3AJoPSmv3p1/sFTWqiaIJUzWsQwlOgDI9+mRFytZoM7oPoa+5HXdQVJZKFBf\nH0NuwdeV7yUKKvQhyJFR8gDlSkYTksoCC9L10BC42V2c2WlBAeqaXRqWBGXN9vUzKExRwGtJ\nZYGdQ58lQVkPaHXlSwTKaqd8IkFZYOTSLbL9IdMvSq1IKwtIDjk3amVlcfH66mOzRr3lNonJ\nItudDKAFyzyW2oOklZWPXs0l0soC/VXzaShkzeYM/hIkKx2jveYmMVg2NOijZz1T4EFLZeXW\nnUHLIiSL7ZfDFhSy5vZOD1pZZGykvF8vqaxWj1SQrFkEScuQrDXLURymnjNNqB/KCYCd8PBp\ncCbT+95lSNas4tJiI0r+MuXUF0X8MoC+dXkgKdr+tpzBftYpP2GxLEt1oTjWSDujHgxoZbFD\nUVF/Fr4nEgU/QdwjC0vi02VgaWVBEW35WmNQcJ5cfUDeN9IS11S4wlKcr4st9aE6cBEsK6lD\npm96S2YWvCc0QcynAnioZVFD7mNYVMpQqncLlLWZEk8vtQ3Kag5zoZZ1ft0CR0Mri+In2mdb\nLOuaQOpJUxayEqiurcomKAtJV/+d4XMUBECcB1kWUd/DFiYrPnDTTUwWSpnXVwcmaw338OxX\nOIpCXG4Ejw8RDeH7gVjWNG8zUqiUVlRNfBOUlVwDKlSk3kEikRNFovAdallXDG3bFnCkkCcR\nMGrIQy437OymMhbUxR6bDrtA+LlvJiRywRApiaWyimuNHaDkhsBMpwm55z/dM1LPSZ/KnOMm\n0ry38lqSykoN0hwaAwmTtcIJqk1MFli7jwxNtAbapG1eA+ouk9Agy2WtIknbBGXhe9ITEyjr\nrVwJ1LLmR8bpMXAGzdTT90NQVvXcbqKyZlVPt1BZueq+vkOUsUBgMn0/wFK8FnvtFsu6s+ZG\nl8RNNe9CMAutuuEFI/WxUMZaKoJAMItkEUp0Sy8L3Nz6O9TMdUSXsAXKertXvR2SpTjOzm1S\ni34E/fo2KAsYCQ+EItax5jm7IrhNUv/GDqmrR80yAs0xt/r1QHAlvbDiW6isTEXSIFDWLESN\nGgyRPh6amxbM2vaa34JZ1xbUscIyB7AsKmd0xmTQy+KLVxgrwayELyqXa72sdp3F2wJlLZG9\ncSCUsZZJ0TILjzKW9Sy65bJGN45XclnpNflYn77ZCIA5oQ9BmKxim4blks2Sq4HlsjJDp18q\nSBbS+kxzbkKysJYNW5CAXsulm81FiPuzY0tKRqHPXYZ0JgBFhQ8hJOt647gngRSv96wEoxs1\n+8iEkvg7JXzQtyBZualiXLsNyTIXcN+EZCE5LcIa6GWNXyMxm9xoq0v0QxPdpZcFFPHyMZ24\n+Rz5oQVIij0NOAUhBYtvimstl5VlaqaAJJeVrGPapm2yqKGP2cMARjGrPwHZMnQEKx1vtSyz\nmamuQiUV9TVtgrLQDHnKAm6wWxN8MwV9q4pPuaznF5X9pk1yJdpObYKyIDuqxwPm2UzZ+zPd\nyEE/wBVpbdxVENdGfxuTZU2BrqZQXIv5XMhloZl1lPfdxFKU8GeXXFZ/P2/wSy5r+KzLnVLN\nhI0kdLTPRDwk9EmoiJZvq2VdZ8XFEsEsrgYiKAuUqQooCAqkpoeHziQ0NJwZWkotC/qlOzzQ\nFGdz999YVqoGvPlVfzUbQStL4nOdpVqLZa0CwW+hssattypUViv8WULCF9l/8eMpd/qqfqts\njbSydqVmt2BZ2cdxbUEta86iPYVaFuUJeo2DNHR/TdlgtazususWKqt9wqRLkXUUhOryEFn/\nFB835SjQpN59GmBZ7+drBiyLT0pFwi1Y1ljmsoNeFldMteUkk3RjM6wmDLmln+LjoAlgiqje\n5UNYFlptGOgf1o0zf7N8iITT3LBmwaySCIYFO/L1R10JoKxcL2sYsoMxDH1kSufau5NQEMwC\nGlmb5sNe6Abe7iELctCT2ic5Fc77h/StFQEebkUhJsCYueSyqoJzhMtKjP9kkeAQmIV+Vi77\nUtdCNprLyuHOk02MNhymsuT8T2P8+pGI64e4rGEpUhgOiw3yE4ckQpYgpyV9yfPVS31Yn8/J\nemw4qIOZHxDNx4QiawNx0Nnb2rRCSJdaVjJyai06XTiKpm3RISyLorlTFuSgoxf3idWylNSS\nZfP+tNmWsOtX6voQlpVTPhcgDWRqMH5NR6isD0eK5bKg43JkMZCiK8MswWPfGA8CNdjrDZbV\nsnq1R0gtK3ZTwe1x0SF9rapOR6Csavw6jMQS0MP1VGJZSImFD8ETlwYTLWAZ3NMB2REkC5hA\nW6a6UZUalVjWA8J1OlarZb3V0nUIyQJRng/JTFi6TH9LlCXp0CVi+V9iWVkBVOxpraxP+4hQ\nFx+Zxg6tLMKkpMzcBUegmqcPYjmrGZFvrazuTf0hJgsdc1czYQhLYV0nTKUQP3H4huBJQGXk\nY8AzePZnShGUhcBi+4bADQauOhsW1WNu/fjLOgdzqk+XWhaWSE1EYbL2NW71sAWEirc+pmkB\nY3yKvu/0JMBbbR0DSFYSnmvSE5IFLLNm3RQvWPFgQIUplFdcPg3F8Vwjrw8izeBrpNIRKOtU\nLwHksiarMn71U9RgryvPlst6zU3Psh7BXdwqiXMKJBVa0M8inOKtnCFgeHjzAq1JLKuVogUn\n5YXPFE7+EJMVe9ccp24FesG0GHDXDf2Kujh4zVE6/c0HtcBqMP0REpKFnUb3OVsb9vCwZPPZ\nbhM4QmSh3UgGFLPeQlgf4rEsGS/LZezl372lbjNAk0cL1G1G8T0e4rEw4eXEiMdC86t8Hxtr\nwQ2kKmuaruYlE8UllFWV6SM8FghbfNNLrAamdIWHHQz1NDE3tCnW+vphKGe917nII0DWy/oU\nvkAhspqR9Gk4vRCLtEBj/QzXUKWTlau7+zwPFVvhq/R6CMpKp66tS7L8khBEJUEoZYl4Rpge\nSWUxqvRBAFPMWZ8XV9qMe+1sSIdvglgNlFvl7CUYdRo8yVvwwSNQ1uq1EF68CbkMYBYeRDoq\nQ52rHHTVkyWT1cKdF9rTQPRQwQchWQ/qt9sWSax7XjJzB5mU7aujmHVqG34EyUKq8pEFCuu7\negYO2xmyrUoBP0SySHve6nelC0mxOJAO0QR6wTju2D5XEuvHnfnJbzlbtaTTggQ0dWAfm8jD\nrE3KZW8ZGuz4OK4wWZmW4BYNjAzkJ06v/dCEctYuNh3pZKVXU3ZQKqYZfyjbdIXJuszqaqAN\ngchufymhrGaOPetk5R4jPDCKWddSyajsIAOdOzV+3dDJooAvX6pksgCnp7u0TNZxwJ0NvEEZ\nMQXBEMnaJC1idC2adIDm6Y+kkmXJbVkgNZsT6fggICn2dc35EpSFnY1vEPlnzT5a0os8bkin\n6TAIVgx1hcl6X2dcLzFZkGpgrHGhskVKE/on6mSxVrZ9DEnBvi3AUURBqS67IKlvz9fXiaNY\nw53XlMkCCVZ4GMhk9a6y1RUga5sH+emXqxwW1O6zCKOoSrpVstZ0OkgqWTmbpWIN02ajlUA/\nkMk6YL8QlFrJEKQONOWYXEOMuXVHgmXd/XUagBS9dkiXDYLY6DMFfPkVITN5mweCL8kPdvlq\nlLg5jtRvFI5CpRFIZY1fxOAND7RYjVT3g8WybkmLSCsrY0pFh1ewrLBCLRiqE7ZojSWZMn5u\nViDsEstKkI9CiytYVu6sPpakuESSW5MccXw+fOX5LhvX0Rotf0NUFpoSmJa4DBQfNtv5NFSz\nxvHqfcmhwe4in0aZ9eH1S2JZT7aaKga5gmWt5sDgCpX1OjkItawlqsNmSwbdoGpgNbT0sgrL\neoXKylZahoeXqCyKwPkYpKD3LEhR7sVeqshpF1KKWYUpusBlIR6/ZVA961UPQjblAFhcfDp4\nnZctfVxZrJiVuXHufC9xWZmPG9z131n1LMUpacFZy5HCpbZ6boLUzCDFrCJzfGDBVryCmUtg\nFj4XfYmUOkVyUx5mkRUsyzV3eCBWtCz1cInLymM87wHLwgLO/AsEswiXVkXwLvZdZUeNWqAk\nmYVUW/Mdop51a092l+pZFomFZYNCuZb5hFwj/7NdeZFkFrhENV2Jy2qt1gj2nDxMHDaZAKbI\nlkVNxU2Vm8opWjALvKxlwd4BCZxHpqEgWmD1jEAyiE4UC/eREMw6es1HlkW2rNzYPrRsg7l8\nO1s7uTJAZT3j3OOfhRz0MGIFzIZgBvtIB0Awa3K/smUglsLZbUg1iBeHyVyoZT3UMrEh0NjV\n6h0LkZUEtzUMoBS3kpcQy1osGjsuYMCEgcKW9CR/tqCYlQ3SZUBQcqj6RlMmnmMU8ZzUsuga\nyrLZuuQgTaCsrAQLhnBvqdwoi3WJqu2gcx2ydFCxWI62Wy8L1O7dAxGVZT1wMOiqmuXo5YIV\nrBLQlsvK3rrB5LL1skhyxmMApjgWrEwL8s/iyqbFrGB8Gk+XXhZaqaYPoiOZemPxGpNl6SlY\nWPLmEgJOnxQaAlJi2ARH8i6VyeIVJCu5n7FcxitMVndrMLNXhwkuTExYsBhM5v1CclmfVrOQ\nWhb6JOH7YCFoBORFtCD9DAJ23+CRVvqqGyS94BU8LiSWJXAoB2IzON9As2VLSem9sjD77Mka\nVsvKtoWzPVDnWs1VL17K8kUSCtmQ2y4wmAwPM9TDgY3Aw26fYFekfzzlstCK+foOUcwaZkxI\nyyaenRHHA8slkCzqVxzVpUadBYrBK+p8GC4ZNzgOxTyBSQl9KeA96wxR/UuFyhouaMdLWFY2\nX7APkdyMKbloDkvPP4B6Xo8DXrA91RkT0ssaSUtzfMxEX5kS0TSBGGxPrXrkqGAq8vM7mH+2\nJnRIMAvfDJcrdCcwi05y0JA+PSr2HCaocwMiiSELxSkyHzoemza7idihAVx7ELZ2fBaUbs5W\nBg+WzS/3kuo7Xj5ybKffqYNI18A0G/5exOT38DBUutmOqmG6t1ZsHrTVEMb6W0gxC73Y05di\nKctysxgoD0fWYfA0cvpbkVyWjKHfKW8X0sxKRAWLhg90lLq68a9PY55B5DrxEt0MWY85ZAEr\nGEhDfXU8cjB/TJ9GSIVpOOIdglRcdanDghS0G+TA4jXJh/U5C84EAeq1ZZOBhM1n4JcBK1j3\n5CDUHBl/CunCtAn11YdBySyi2ZssJgW78r5EZoEymvJc8OeDdI3XZ1Hp5vMKhczqqx4Gm8gZ\nQF96F0KzsJnUL6VOBJar7VvcWsD0BqWZVcqfYP4HK9grcVslKcHKMXwS8s/91tSgoAteoPzY\nonADXv/qNuUCNqywBp5rxM/eBMXLBQdcSh5HdfHQLj6kmZWdH1sLz2Ila4oKD4YjhdV1ZWEl\n6/yx5dSJzYL0xfTF4Uja5wUuydy0WooIzQLTlCfC+kNiZUcvR8iscRRRhxWzlhuQYIFIJLs8\nH5pICiYVrXgJXQLaSd/SlsqNianCklnZcLS0zAia1YX1g4H4xSFnvAmn2FETnsAseNXhgTdo\nCecQrp8UVSznsi4EC0RuujIG7gvLmcBYKyiZ9VAHSGsjsVlY4TU3AM1KEXYS4oIYqhMDsrWi\nHUpTUFSwyZSeJLGGRy9eklkxaykSNCuDbT16CSXE2+tzOpKmCPsoaWbdU76OklmvKefR6NgI\nKvq558emQ+Zz7q2w2qIfbFawJWjWNKF8WDIL1IGam8RmJRyIOw5ktUFqMJXAgGWTNMCfAaFZ\nWUMY8i3CZlW6ApZNTDzxrZAzDqoU3OORQQs2+Hg1EF1Jq18m0aw5laWD9iQkZ3d9dJcp6MXW\nbQ10EXl3JSfCqlnrKAUXTdis3RzNtFfcYGRaeGS6XDHlF7JpaJH+nM0XYdWsEEs2DJcJU8Qc\nT4EcP3pc0V4JrW/1u8NCbj4Fd9bMyjUNSUJ0npMczIRLsBy2GzDllhaSg1UM1ljmw7qPH+8W\ndhS1+LU24rPIbC9D1rIghriHLUTOKT6GZNZiuZ/9aSHNLFBY81ttRGd9ea4mcNZwehbS1pnr\nxpKxfXnqU3Rlk6JEswSmSwPKWdWyBssW5zNaFQOSWUzmtxoG3GBjOBanZBa9duPFhc5KCRPy\n1MIEUEVX/2BAMmsgWyEv0LBHCVArHxtuKADTjBJAC3VAn5WZaOxkGUWnBdS6yytWI58v0Mkk\nvA1pZqV706fRiNDCUxg+DfRg+3vozCBPyTo8tBx1fHI9smjWrUCpMYeVScupaxGfhW7eq4FY\nQ8jfQRkZ3Foj+ZZCA8lmYd/SfQwrWtJJ4EBDD7/GQUnr9npBIaWbU09R+KxM+LLsBdOmGk/X\nrxdCK3ddmg0hfrDu3VsLKd00dWdjIJS07vDMG9iVvfpSBNBCkVb/u/LQH98yJHSzj0omIcWs\ndL/scYlGhBZWxXlsuRRYY7dTWoCqyBSGok8rZm2rDYcUs+6rXHU0IbTuVJoTMndAVQyz7sAk\npRsCAkKSWVCuXzLAk5ScNixo7AKFIz8VAbSwtW6yQOomGyIZq0gyK+mJdCnhs7IKTiFRZBzE\nkcuSCCxAaB1vsBpZCcE+fT0ySlqpS3PCAxGh5WRNWtZgRldvdKqi9XopbuzsbrhFTgMCtMCK\ntH0/qGkttiLTkDH0aqpBQoUwuJM8NrTEtoGRhkuqJLPAPLFtkWRWq7MAqVASGAZkoNt0W3aa\nBi1sOwkLZu3t/IUEsxqEM2UANEuYUHx+ixloKjjoICAqWjiUoWAW2qyXD4EX2Ua4Pmmiys0Q\nqgncP2QS8g/fUrnpSiGG5LLw2PTxb2bvIKKg6URoFupXzQNR5WbU+sESFO6iro7sHbYI22PD\njVy2NkBm5FVBcvkIJKBvr699i8wHeb5HJmKzTEQckstSYowGFLR6E+g+s5LMPw/czSMTNctZ\nCAoJZiVIhhA4WFLkRuUOWlDPasJDPzCxoOUyByyXSppbC/VRbdykJEDodhFUNL5BgbP65ys9\nKGedXd/xUf7ZUithvawpNfRAgWoSUOaJSWxWgwSNL45q1pxi8wGBv1QiFeNTMIsSi4r9mrBZ\nCRzXYwU2C0GKPDyhku2oTwCGw7VDaOOQYhbyCctn5aalXRMBw7KZxL++EmpZWYibcjRUFsu3\n44iEyCwm6posh0zFXqSvSMHE+PPQhA28q/kBvayLOhUr/mG5LOmkywK8H6l/cqBObBbkla+O\nQQY680/L4zAB7UbyoFyWQZIyXOzSLMqbJsApEjNP19IpzYQUVY0DofUV3opTLku9RNM3hFpW\nVku4ze+cyMh+TV8fcIr3iiqEmOuQE91lguisZV/TgmLWvZ4Lndis0Nogy5lMbCi06eR0it3V\nJRVSzIJyvB4j0VlZ+r2+VubGHm6YZAGgYlXes4NXFitc90nEZk2VcEHT87Jd5gw6ly5wVrHr\nszzW8Db0WfauHLQ5fcJ6WZek07QQT2GIYlqYgzaQG5b9y3qjNIBicJ/KL0swq0xkQF8kyCGU\nxa46MV5aKTspa+NowX2Cilnjfb1jlmJWEHciQ1JsRKVcO5FZccqTQC8r24nS173+6ahlxXJI\nV4JZ7iZIC4pZ8/UCBr2sQyXCmDYBUNFNwBuWzMrFXHOc4CzQC9AtQDHrMqXBbFd0obOGCXpg\nycay2wRODSlmJV060XRBxazMnDcnZ7vQWW84IupEUmRyVH6zA2gM6e866ZIoxdQFYcmsVvFY\nNzrLnUmwZBJ6hFesziTxAw03ZkJKMqs5wpBkFifFlWUEW4qVB8o2AqDHpDINAzCB3YlpKWYF\nMI4+Cd5EVVFaAM5C/2XzQPmDMHWWTztX6u5cQsXSiiwUnb0Fs0YzcwtMjKAVKkAwa5Gwe/gs\nyq2fr3EodMMU1kMTKlpJcnh0zFDky0ZEWCAyMbwd7lPaFHL/D0zLorP6oqiYleIFPgkFLUx2\nWzIHDYfGZAG/UMmJ+JapcmPqn5BeFuhXNX2JzQJoX5/qQhL6gbQXF7q+JLf++VhROQaHTvgs\nYLPaLH8jbFb67Kk3uKqipXRBZ2U0ExF2pKtUbvTbBc5qbB97aMoVNJpyJzBc8oZ/bhl4ijMd\nFEkyi/qnevCEZ0FWQ+5O8KwgWAwGKlOMeoa7CMLU4xSSzEJbiD4npMfJveiBgadYu764LZ2b\n5ax4pls7nUuvq0Pn5j1O5HeCs0BIpIlpbJZR5bCk+OMHEx1QzDpoQNXmisVkQEGOx0E5qx9R\nFof+9XS9N5oy2YG9BjMlUMxapLY5trCeddXBEp1tGA9gCttjE1IR6sdDsz5gyZUfJYEXsAcK\npySZ9cSxKHl0toEw8WsDGMLM9RXQzFpAAK66IeehR1+PTbkbf931E50PHe1QvENhs+Zbs+xK\nmmKTC48maaWp7i3NLDiQ1+OgnvXZ4nRhs44+3SctYAjrn7DoMg1dmhsh9SrwWrw+BkSDzUyM\nGAh56PYJVS7y0KNSW6rCQNxGz8fQrFALLNR+QBGWQ9MUwmat2nmTNOHXB3QWUMyaaJOQR6Ri\nVgp3WlQHJsk+KqMcBGftqoVDMWuJqcwn5ZwEwxTp8cOSWfs4JRVCZ62qxwTBWUj3cE5BMWtQ\ncLzX72BN63XsJtEsFK58yGUfiSZZvIJUZK6DK1/mLZaUaOm1pZqVOw9981LNMpEJLQBn7V5J\nlxA6q496ZOSRyX2FAmLJZqHnRPcMdBZCJjYUwZIcB6V3RyhQB4HrrnFy/udyrSy0VLPSd3Qq\nqoVls4p6LUIArUwjlOGwOZLjUkX3KwtM0SyqDCtQsmxWMmXosRKfhULAkIElrdeFjeimCAs7\nBatmhQFuYdWssAouLFrT/HeJ3BBRBoKNl5APxUTSzCJfiO8HrmROyabDov24VDIDmlls+tTT\noTKzm5BlQW382GdTMau/cuIPLEBn9VDKLg3SitSmGYpZDG7YfBwSzAIAggySIcUsgKS3rwVQ\nRf/MpyCoYtdODYJZ3OMwv4uBIHN/ahpIMSu7mPR8BM+6prcLCGaJgoFLIQSzgBu4DuSsmJUh\npx694FnXmlVQd8WOfH8N1MmVW/k3SGYNCrYOW+BLPnvgEDwrlXJeH0OpG+TLm0yAVSRBjI+B\nQsVrlqcIo7Oum1aC6Kwn4T7L17LSjTqaYqigJa3eJN8mDxK3AZLLQoPTlGcxNms5IAu2KAZo\nXposXRF0aFRloAvqGJLLwjzyMAMNYZ/5TQI2tIPoI51IQG+LPD8BuayFDJ32YJLLChBmepys\nZeXKrcUzBMzK7EA/HugCUtXc46OwAtheDU1oVubNlFcMIbMKaPnAdH5Z5IDHMAXdXcIO4n76\npzRjuSyJpdMCpRtUMI4syEAnFXeNgwR09xlk9Dne20gri3pajDWCyKxddbQQMmubaSstpAcz\ndSQskKYAWSdf3y4volJEEJsVuzZ2IWwWO4RpyHAkDAN/YMn8c1RQJakssG5vD0N2sI8rFDJr\nHCVhMRAqWcOSuGD96xTPIowgJJUFQveQAUyD6X+Xr3WyHz6aeuMkU4Me7e2TkH/OlKIchnBZ\nmTiZZclmMBQCQhYgKl4TH0bwXwA3HBtUE1d23lpZV4QdNA1KlPkTFS5rtPoeD7PP59ZMllTW\nPRUrWizriLUflixioaI/PRDyzyaGhWGTmAzx2wMTaljHlAkRRK3bdVJLJvtmHE8RltXq5cEC\narDVyplbK8tEYCGtLPQEMs0VAmZtK2SnhUWsN5z1C3K/usFaFtIUqRJgraz5Vlx2VcR6j7rc\nYUow8ra6RgS1sjNP60VBWlnr1od+RQ02qhdiCJmVM4O7nyFk1lwK9qGVNb5bZyyWlRhcfchS\ny0KFhL9+vEJTbO87BwWRMwRWtJ+8oJl/3vBpHghO5B3uRbBa1qzi9iAwC+lirtFQywr2M7Er\ncKA7+ysuk1rWV0laalntGAUaQ8CsTs/6m7ofBFOEs1rQy2KdSEkk6mUBorN8CKBZ25vDJ02o\nZK3aqo/2hwSY+L7UT0neIx8BL3KqL4NqWeR80Ewcgma95WcHI7tkGiBLdwiqg7aY67PQkYu2\ni+XTzDJIDzAIzcrOJk7NwUmKlDeXhUGxWqQ5t2YCoVkJ8dIUEzJr9XrwQmbN+7mSNSkWtTZg\nOqgNaNm0Vta1KE8MIrOcE5clWQ2QCWCEpy0zeDxn6CBkn48h31FiWeEFcHRRDLoW+ITUZlCb\n0GngTwIbFSvb0Mti4kB1miFg1n2FQQvIZS1mYLUXGqH085XeKSxowzC1eEAwa8IiL0q9rAdJ\n0bcsd3wpEAUYT5HjJ5wqBlcfhOG+QQAp2Cj+yARc1nRsPYIcg/3UB8hFFcPwhodyz1IxemAi\nksIatmGxrPwtciQCZQ1RkMUQKMvwCxgO8PDbm/1B8hB2/visqT4whUZDmKy267kPdpuCurF7\n7C1mXT+eIVmK7sYNKmVlSV/BxyAm66GWtoe+aitXBmkwG9iMn4xB3AVYznSShLKSAoAMPDGI\nycLixFhtEJKFIO76NCSesz2OCxiksgY6W6S+GhLLopSdTwOWAloRvkUUsq55uGBBF0aYSCRN\nJAbbkqEIxZHgJVlluSwC200IlDUaMyW/0caB3HMyjbGkAfLiX5T/uzKgjgW6DhmyjJXu+e1y\nxkup5+W+8kHEY3+N8gmLZa3qwZNWVj/qaXpiCJV1h2tLY4kYbJabAMAGXVZHf2/sv0OykoTX\nXOrwKsqDVNbE2qA0yyAkCwUuFiEG9VzBgsS1m1JZDxHLUxbTgqkbYAiSta1tCsv+Zb12Gqiv\nnhlxfcuSyvr6oZbKqqLeICQLUMDlkVHGWt2UQAGprEGm6unTUBMvDaWgVhZTMa8twFIwSeOB\nMvkMEEPYADDFdu8lpbJY82fyzEpZgDyzCD2Ey2q7VstTGuuKIbPpspM4wwOjJl5q809YKWsJ\nih2DsCwymzZbsop1jBoJ6GS5werKgioW5HAUFFgpa1W0Q1gWpGmGh0YLZfxRvxysYB2pAj4v\nluazVV/wC0tl6WOQZWtfrBlFQHrW2aArShNpwT6uTKCsBIR0GYb0tfzpAJOVEdir5fSyhjV7\nRXWXyhS5nDYPA1DWMCdtSCcLKa/PQKhhvePrnpF3PtMbysEoPqndaLBOVizP+bT8fIJZg22s\nqUEnK7Ew0/GQWpBQ5Gg+i3nn7jw4dbLIuaqwG5ytIsdjaWcSlIUkdfPFrK+uZRlCWRlYJaAj\nynSQQ1XfzCQqC3im15aDRozhflsIZaU2VAb0zTd0BSvWiiqprI6U57YFqKzuQv9srmIZ8B/Q\nytpoQ9k+i1w+w7OXWlmYZKrbTMKy0He/6BSmcFmjtoiTZac/W5YAubtuKF1JzlbF6pOwrGZm\nNRiUdlbH7WySuQkRUgbSMEzed37L0spCsxgDssl+pnT98lqT7Q7A7TCySkuuX9kqNAnbgFrW\nQVlWE9hqWVUInERlQWazeRymncuPQZSOVKmeQF1YCtNzhtSy2L3hO0QVC3laX5xVrKjC8SQm\nklx4vjypfCrimUJltdr/TcCyiATykxYuC+oUy5ZN7ka1bKdclnrB9OgJy3raqn7SGaVz41sU\nLGutr2OQeb7VV5CWjXxfV/ApvSwgj5vPIpyisiLTuKwuFHpakHq+SKR6oCN5+eFxUMTKGoS+\npyGGwaqVTsKy4B8oYZemRvC4hhnUV0fWPWxJZoMVDggnUVmp9NZUxZqEZYE8gVHSJKFCwzZS\nBhSxktxx+3ZQxMqU//ExC1iu/NCWx1Hjueov0MtaEt0oS27F9ywHyG5FFGxVspqEZY3XtESw\nbOoU2ANNCazX0iPBrIe69WUSMVi3IcPatzvLPFkaBzRMXgJR8I+n71xHf9e31prJukKCWdCe\n7h4INayMIvV6iMpCR/ytgYClqAKMJbM+2z1KZqFBY5ThshUcaZEHZVWq3JjeH4XWzuql3pcV\ns4w6sl5WpsP1maIa+khCvkyXUs1q+YBk1kZaxJNFqKwoz0ZU1ndFehKWheTv9P0ARzE9BjAU\npzkxLrUs8K12RgmSywKDRp2W39Gu+BViWczbqzw9SS5JxDbrYqWWdeqRCpK1q7t+GpM1vB+E\nWhYnc964BgKMYvVaToXJAhOiDZtRWfhSoASLXljKSUYEqNqGz9pbEp6+OMkFqyQpsSyQW9Qx\nYHDNl6UewUmFFeRW9LIO2XxWFS6olkVa7yNDepEH6LpbpsuHqC0S5LK+FY4DalnkzVbGX2pZ\nD2gztaCx9/6rUX4SkkVh47DlcP2oXwEMRTSTN4T0shDlNh+U53+UeWISk9WgQMVZeKWxHhYw\nhyl7N6IKg9LLasWyHvL3+AQ9TqafkW4hd2BALov3OHUIks9m3wiJZYE6dMsASrDsqKjrgGcI\nYgJapi9zz62geJPqceDlrBuGVBY4hWxIMuZMnKh3ahKOBXVlHrReJFa0Hi9SkmSRTllL6WQh\n6ptctqQFzEsfWZh73krHLMqIozDIXwCZrMkN2GFIJZ0s4Dy6x0H5aplSBBYmKZRDXly8QQQ3\n6fVSFytzm6Oy0VLKalGY30UoFnps9buFn+h6vQ9M0ldXxJ3ggdlEZz5kIRZryX0uQrGWSYRi\nCYqVSmdqQsoUWSMtnlyjJISh06gfKijWMdtMLEOxRDAt06Z0r6DUqynxXC1ZEMritnyUgeUY\nES4sNg0CXlDjMu9cGH/oZF2IhCkVDJ2sSbSWAiELZV3r7cRiKhSEAq8tPb7zaYs4JdBrUdAg\nLJW1q69BUlmmCZIlt+CjComLncsABqizdjGJiK748GlAYvWikpBWFmoXbB1aRGJd7ngwo4TE\nalGvsBcpmLJuksoi0X+z5bCHbjLaXwRiQUXZJ1Fb/YgUGBZoqx8FrpLJAn27fmiisCg25llI\nGBaJKkIWZJ5Xc85N2GOohDQf8zP9HvZDdFnICbadH1lEYWFbe33LAFC0+/U7L7pPt7mSArLC\nBY2wThbUFZssgGFl8lufySg6sB7yK4P4iTFr8kgo65h0NiSUBbk8ZtjXIHwC6d3rgVDBemsj\nBqEsqhmIFsBKWcMCrWGhLMAROZ2I2mhFVY2a+STtov0ae8jRaCDfx4jRSGQMNL/EbXjalLjN\nW295MvN8zYYWaLunCBZLvxbKWq/rjRbK2uFa6xIM67ocm4xjjURSWiggk3XYyqM8nXWysn/E\nw2xRGShkXkRhYc8lrzFRvorJFCMtoPB5q+hlmaz3OvCRSlaztA0sVLZ52a8t02JUo+zDWtK2\necWrFdTJIkxXv0JILCggHQ+Ez+J6cYVMFuuCyi2uVbLq6geVSlbbYU5gmC4pmxWwLEGxvt7X\nkiDFdl9AWi77JjPG1kCshTdxY2daCDmL7h6gJSzWMScwM0cs8C32XiwKPFNmeusYOJJbuLkl\nKJa6jGhB3vmcSi6uzcSzmW2gkrWxR1cQKpksfnq+nbWXYG62gIUHpXBfChWsWaChxT0j8IWa\nqxLJkvLmb/W6QRhqlbdBjQ6VXTneI131Y1KEdZR3ru23dbIuiuKPTIBiZVueppSgWKN9WZB4\nzklyPBC4wBZKKh4IJazbDTRYxGJlR6QmGbFYHzEOWICgYJ73gQV559JjDelkoU3/+qde4YiV\nrV5sNQD5SGcRa1ERhSQ8oYMyYCDBxZUlM0qZsOv6G3Rg73RJYl0WsQBnlHNh9MSv2QdN98u+\nHhhFrFmBKVSysP3o9VYJxqI85bFlk9LIj+wy8Tw+7/nykYN/f/o0VrFMrscOqgunrf0/dLLm\nF5scLFj3ogC2UsrKySDU/SYci4CMZovV1euskU2e7Vi0I6SV1bYlnEJaWXD/HgcAinYdxm0u\nXiBTVxPrfkUJ9jogtFTWO51jo1QWYk9985twLABiVd3ZXJm+AoENPXT0QJWB8javPZeUshrq\n8/TAm+k3NCfQnewmSjDzosZuJUkhSB21ssh2wthOYlloQHo9TpaxUJo+vry7fK8HBoLiCKr7\nhKSyQM3A2SmpLBQdmn9X1izaZ63ZRGMBTRgaiKwBWbFT6lBaWbmCK/q0VlY22m0bNh6PCm8Q\nysq5mRuT8EnIPeN7tmGxnvq5EqpYyX6iuUEwFvuimSKBE2MHk7IS6C1mh6oHZj38Kqq0TNbo\n5Calyeo2imDTIn1IxYObuHlgCfRqBMbKtj+VVy2U9Q5fjFgsEIcyv7bRs0h6KQ+MxPPdRVJj\noaxT3cMWyjqFrNyEYqEk/Hpk4ifU7M2BkHoeEpsI62QBNSkDZbK6a++YIkTq6lkkEEt9CYoL\nEvMzxPrLorFkstoptiIxgbbhzgSRdT0QGLg+C3oU0ObwQVC2weVtAQ4rwSnLFsqAHNUyt3BY\np9llbragxqc5f5PhNJF8Si5YJIsfvwcCHdg5XkL2EB1Y0eEkDnLxDrWP24yTcyuzBlOUVslq\nzuFs4bBaN255T5GBmV0KFuurN7JlbOKTyXYwdRDcyFTOZAuG9VpvJdSyAU3dxi7WTUk4tDgs\nXwvYiW5GybBMVhR+fhOIlcewQQcDET3RndPaFP9EKK35skTi81lAiMRqtQ950pRfNYjkuehL\niEJcQjJsSTC/HgczoYI/imQ9BAExrN1Mn6LdiGn4zbbc9BpKA2a8BD2K5jYsyGQd8kMJrECd\nLCCW9HqExMpqqC+FtHMcRw5YarkRb4RobzaeYj1jVkkyWWiVGbaghDWqI2bvYgMTBWhsSgkA\npKe1exM68RYyVjpZGWwpo72JxGrIPtVAk35D203IZHEDKubFbFsAf0Zl2aySNbgRfWQ61DP2\n22APZs5xbTc30YKI3+VdNpPPk48jfRShWGgr1E0TidVOwbY3kVioyjJFlVQHg+WXQd2IkEwW\nGieXBwISK1l0FUycohZUy/w+qmER/qCBpjghwmctbciVz7BOViITfYcoYa3K5exD0k78sFUm\npICmk6uSyaKUKt8GkVhk0LPhJ4J+smLlqI1ArMR3TBu6WkfkWK+0bbYL29LIyrzfe7TsEYjV\nwK7hi6OE9Wnt3YSrAESrtywgFgnlPBCcyd41pwDEQqe/XICAWL1QIZtg9lyYc2v70ESRrGpH\nlEgWiDK4QBwCseIDLzmv+MBGsRWlJFZjH4YWMYlkAbXKZjGpZN0qqh0BsYQLz5mQpk3lEc3f\nQ+F77KNfn2ZqQQX1UslCsVtsRYdILEBF6jQUsbq1NWBZpLISJRZlssBu2hiQSScrihc+1zxU\nsYTxoYVVrEooHfZuQ4v1MDsinay2a5m3TtaqQuQhEguKMcsXQxI6GQXW8EBTcGL5SRGUgmKd\nC7aUslCc2L7Y1o7cgBsoZZHSiPzcWM5nF7GZfwj8yYchlwSTAG3y24BUVrZrlB55mlDNiiJd\nSAt9qWeVtLJaoZAPwVhPNt2qtH+6QBTbDauplYWKxfL3cljkT0epWpqksqLX53IMx7ouAx2h\nsfr9+hnoG1rupjtEJ3SR7TwyXcLptAE/AmN9eouO0FixlKuCUhar+IPNEVDK4kNVRUBSWdDk\n0YM3GmvJKx2BsaLy9pDKWoRyqWPghNLQxbppraxizU4LSlm9cHGQyjqkZxMxA7SyiJqUSwYh\nO1/FKkO6k8TH1U8HOhD1JF1+MA29qqciLYcwSuFMzpA2RfX8SioLyhirTgOWYpgSP84QIVgV\nKTJp1rCwnDoEUIoJxb9HJmplvV5ZzhCWItw6eATGOsO+/AyVs9Cj4YEgcTMLZiaxrAZaLP8O\noLH6qO+AXWdinoRQ1iJOQgtLtm4FwSiK7qyU9faaYkZjedNziMZCoC/kBJSyJgX2GN1lXyZk\n3WrHfgTHAodBWdjRqv6kQzQW1Sw8DPLQq7reAYsnYbcA/EKfNei1DA8ENNapLp1DNFayVnhG\nLepSJD5Yj2sxD30He8tkIvCMscv5gLG0fzkCY2Xf3y0LJG4kQPLAxILWcsbUQlngj/ZpqGe9\nwjLAAjowna2BkIoerdwxEVmtEOLSyiIH2ZUl97Tg/AzG50eQrPf1hhNqWXzxemICZL23vmUC\nskCwKDexKXLz6aE6RGR18WLQQpGb4o+yWFaWr25ZrrJSyoMcIbKmNUrisNu2f30Dm1CKIvoW\nA8sDNJKvnqXsZXZ5GA57/mfdMrLQqtP+xiZSz8sd2pbKOsvBp6SyMkpTcegQkdV2QYzOkcZN\nCmtvD5SfYyMxnSyqNoyPYVNqyZNXkKzEUzKFAKUsFsrtwg8pwWI5o2ylLLR32wJEVq5QbXsg\nQClsggWJ6Nex76GiGvQ4pg2Lmx6Vi6iV9RA3oc/rsqbVrndP54oSzAK1aUEa+rxfx0QSEsYn\naJVcFtqBXg+NktYY3n4fqhuguVgPEbu4B/voOmujF7XXIiNQ1lv0Y0egrPN+/bJ8mU8C3x1Z\nXpKCaR/zY5FcFqhr+Ygsl9Wnm6EuUVkPSK8YBKR0Ffv31RYHuSyqWirdZbms93puXoKyiIyj\nk7pEZSGBzV0y5LJIRaJ8IOSyJh61MsFWywIEMzwQUFmj+IfA6Y+KvtYm6GWx0Url+8uIBQxF\nnXUd62Xtt369UFnv6wT/pSMGYcL2MVRZZ0uTBiIvWKUjLZk1rKWUFsAVX6/nl7gsJqTg7XIz\nseij9eovYQxouz0emL5kuNn7NhW1mt4GBkr/DRY4n4Wi1ix4hQDAbYQhGFLMynYxXQqwLMJE\nxShwhcsKM6JBMOuSWFOPsCsJPb7GCQqoF93ZFTBrFnnW7c5CKxFzCXFlL7UtwFJktNO5gFoy\n67zujbnCZc0qqd0ulXVJnsGwSW6fceFDE4h8soKGQwjKQo6HXuoSlKUgngaCsm69iMgUNLM3\nwoVe5H/RLaNfRUxWfPr5b4hcsBmRdonJeiDW1n0astCn0mtQyzq/iFn0DSH7WAnBK1BWlonU\ns3jZmhj91V8gBOtFxgqlrEWQy/KTAB/YKNkKCGVNtQ3rdRKTlcSYynbdoRR0q+lFrXMwn2ju\nIJKkmKFq9RewLOb8jk+DwA20JDz0lD6k6vlUynpA1anCpaWyElN8fRpQWb2WxktUVjbG6gUO\nalLEh49MUlkkzfRdX23h7SKIygLDqW6asKwHIlpyopOEYPvzDUgqKx8MwxQpZeW+ybdIWNYD\nXh6uM5cLMMgkh69PiNzrK9GLNNUeSiYL3XGPTaID0+70EpKV71mJCNCYiwmOGynrZAGHyO9m\nig2s12NeglJU5HeJyMooXJ54MQk9xX3zwER5m+blXTpZGVT6oQqSlbUfuZpFJEWXFC0HIpSi\n1U0TRAWmZs07YrLIweOBFvlPu/9Gv1R759fVjyQitcu9wmS9RQZpmaw161dsylACcakZtZmF\nvs3A8MttYJaYVEsTjLudouOnTtaDrK9es1FZp5wzy3V9VJQLnayL1hf7ULYIPA15U18+PUnu\n2Ya+A7bOJXZdUXcGzvFNanu3kBTZZf7IQkxWsUtZKSt5avVVEpPV31LXgVAWQZdLexlIZREn\nqo2BtbL29obwCpPVq+XgHvOBSckZlsM9iKrTl7XAzrQgDXAliaS5vhTqWUv5uAcmFLTOZ6Vk\nrhnSNdf3gyz0roSYtLKw4s4a6DJL4/l7RAj2CRuYECau0xbwgQ0nJp6QVtYX6ea9IgQb3mxe\norLis324zKJQ1KB7IKShe6vYJnFZkG/h1k6d11kf+RzBJPR0GQNaWaDFuzVd2PycOURR21gs\nK9surgdCSUsFH1qwj4EoB6b9gFiWNHzh/WG5gpzjxw+qZXHHjZUwLT33e1k54BcOE2LorWTO\ngFrWpNrCsgUSN80x46Ba1oMtFov+aQIyK2uszXeUXzu4OYavn4loI55pSQIlAMmxyA/pZQFT\n64FR02qmAxovcVmWLfgNDAVqWtkNQFg8TJvRn29aclnFRTFeboTBwj89ELAU95AJliasRltZ\nmQG9rAULu7KH9bKST2dNWfIzASMnO/SJ82DfE3NJsCwSRtzly2+F0KOGJr8g99waiHWtoVpG\nWi77UhlxwXApQ3t1rc489H2VVxzSywI7aw8dQziFtT/Hy3kKVZkYsiANPaXCMyiX9ZDDbXkc\n8guaiSItk+V6z00Bs8asZ8huygf9rsMm8gvemhySy7oSGoDlDG5DuNCOl8AsqA8yRoWJnUce\nWXpZ3UrDQ3pZ6I0KH5NFLeJh7iMTVNaXxcsGBLPIKOUfL2BW0vDoOxAwC7Tb2wOhqqUZ8PvX\n3z//7tf//by/8v/+9//l17/5D++v//L/PBn5/qwN69f/+Pmf/ten/fpvzz/8+18/H/qv//S0\n99f/9msS1zY2uXr+yQYLsP39g/xQ1rD+5T/++3/59T/97cmP6N5MK+S1//r5MxnRekufMpJ3\n6c0E89/+6fk3//jX96/vr/brb//4/OXnVv7ub//t5+ayqesnqPuZxX/7T2lu3+Y8Edb+r1oj\nrf/z335utf/yf36ewWQmfCRL0o+rq99mQ/46HQONip/XUMfY8HVM7ngzQKljbPg6ZpNltg7Z\nlg/6+8+r+RePfIhp2xY+9T/9FDQF/BqHs+6f/PfXCWjCje9jyvJ1FFsYztdRZfk+Kjt8kgT5\nc5QtX0eZ2uhzVFm+jvJM/RxVlj/93P+/kyxrI+0FfjhjyzuzYvLPZtk//OX9u7+OdfZf2vv+\n/PNnQWt/6fnPf/+3n48iI/WRtENvzqd/+Ev4oP6X8Tl++vicaLgL3lneTcd/fq6WUpgX0UmG\nOT97pJ/n/y9u5j/+3V/7/st/xn//v3/381//Af/8P/Dfzdf42fT9wq/P6ZreNH1xbsDRDYys\ndaZH//t//vWPf7of3AhvauRC9b5weHBYK9fsf3E///bnwucv/ycuz1v5r7D8X/Vzf0Ltn438\nz3buV+JfWn6l6S1H+9kb/MzOXEVb/Cyk/+MZmaiRYFqWfX5e95Lsmix83e/PEr9GjvezdMye\n4w3+42e8GmRQQvNrEFk0Z3xP0/9YdU81xmKJ92sMWTjG+Zlk7/k59Zyf68evTN3O8efbOExT\nfw1xnLj++z89+0xCngzi8Abqr7EB6kfsna3FP5ufn9/wz12hPN5fsyWPs/jHufV/zRj/mnHI\nCf675/8DUnCvkwplbmRzdHJlYW0KZW5kb2JqCjUgMCBvYmoKICAgMTMxMjY0CmVuZG9iagoz\nIDAgb2JqCjw8CiAgIC9FeHRHU3RhdGUgPDwKICAgICAgL2EwIDw8IC9DQSAxIC9jYSAxID4+\nCiAgID4+CiAgIC9Gb250IDw8CiAgICAgIC9mLTAtMCA3IDAgUgogICA+Pgo+PgplbmRvYmoK\nOCAwIG9iago8PCAvVHlwZSAvT2JqU3RtCiAgIC9MZW5ndGggOSAwIFIKICAgL04gMQogICAv\nRmlyc3QgNAogICAvRmlsdGVyIC9GbGF0ZURlY29kZQo+PgpzdHJlYW0KeJwzUzDgiuaK5QIA\nBjgBXQplbmRzdHJlYW0KZW5kb2JqCjkgMCBvYmoKICAgMTYKZW5kb2JqCjExIDAgb2JqCjw8\nIC9MZW5ndGggMTIgMCBSCiAgIC9GaWx0ZXIgL0ZsYXRlRGVjb2RlCiAgIC9MZW5ndGgxIDcx\nMjQKPj4Kc3RyZWFtCnic5Vl7eBRVlj+nqvqVV3d10p1OOtDVFB2BAIFuAgQDXSbpJkwUOgk9\ndgWBjgQJ+CDQ8YEPCA/H2IIERWYQlHziC0Sp8JCA4xid1dFRRmZHZ3ZWXeJrXsLA4msF0z2n\nqjshuKv7fbv73970vXXPOfeee+7vnHvqFgACQAa0AwvCohubWt8THjlAjLMATOOiW9qEH/1r\n7XmA7CuJ7riudcmNq5ue5wHM7wAYDi25YdV1j73laSYN+2hOdcvipuZMuK8bIL+DeJNbiJG9\nlb2f6F6iR7bc2HbbzMX6j4n+hOjqG5YvagKYew2AYxTRNTc23dbKtrMkc7QSLbSuXNza/9zM\nWUR3ArBVwMBxAJ1Xt5asNYBLymb0OlbPmow6liOW/3jpcd6K5eW8j/dNnJDr5t25vJs/zi2+\nsONK9rhu7fk1urIL+dxfSTnpCiVPcaJuG2RCPoyS8qz6LNCDo8BkjskmA2uLyWwB+EvA4S8Z\nohQtjDiC4S1Wt9fKDvR9XisnfvP551+cRvjm9JFNjz255cGuXVuZlxO7EhtxJS7C63FZ4oHE\ndpyI1sS5xJuJdxJ/wyJAeAEAV8N7ZHy+lMECcDrAHfMASrU11QV9ZT7bC7987z3VZoSdNMRM\n+8+AEimPMzJMZpaO41i93oiAbTI4yGIefA6/z1fqS6nQdLh5XZnHx7ttO3FJ4hW86km8ejtX\n8fHeTy84tqt6l5DeLMJiOMyQhCLIMRttw2xm4FyCsSjHas2MyVYDQhEUDaxhhXKHtpS1nJbJ\n19BJmTtDVzapWByhN1w2A31euy0vBw30c9uW+B58bFf7nI5VsYeye/K+fuXdT2u3/jbWMZw5\nuebmg1vuvLPjx23td63g97z+xtH6xx7bu+Cnwe3anmeTnwrItlGwSCo36J1FthFZACM8liK9\nfvQYD2/hLW0y78hddxU1eJWZR4uO51mny+WIyS4Da4rJBtWVvpQvVZMdpQsXzC8p0bYxxHzN\nwXl6cUTxZVPsbu9k2kgJlvm0ztAd6Q224cgV/Meffp90HBuJ5o4d3U9dd+3W3Xevv/XBrMO0\ntXc++2nnowre/cvfv/wif/4nG2Jrd65duWL97ctznn3lVeWePcM5/oAWg6WE+xTNn1aYLBXy\nOivDGFGHuXnA8VxMNvI8Zur1SJj7ye5Sn2p/OhwHDOZF3l2G1Lch4YxmdLMr9va3MHe/+Fqi\nk5mUnfjpZAueQ3/iZfRvZJ//9sr72Vv1C3L7T/0oT8O3nvAdRjYUwQKpzJrryM/Lg1yD3pFL\nKNtz9dyw4YV0JAoL2by8/DY5T68CusSAdgPGDOsNTArb+fPnp48KBYYWvYOgWsu1RoUWUtBe\nRFTMddvc7GRClRuW+PqzV88Jz5ef2vL4ExtnrfYrpay7f73z5udOfI1vnkzCvt223+7ffvfj\n46cwX21PXNH4BeG3QbP9LTrBIsyXpgzX5eRkOyAbRnp0PGOzOUOyzZINGTbGHZIZu+JBvwc7\nPdjqQZcHkx7s82CvB8n4FStWrFyZOu7+1C7KB0+9dobQ4ibbRfK9OLmMeHkGnxoNVlbbiC1P\n3RTtYeUdu32MkXlOf4jjvE/cfvzlF2+752f3dWzvWMWM6P+1vMi1JmPyHu50Qr4i0tKYOJX4\n6ON/OvHRu2++QXu5mvbi4GZTJBTArVIwl9cbCgCysgwUy4V6PRDOITm7APO4AkpSZntINltM\nbEg22U84sdeJXU7sdGK7E1udGHViyIkTnLhioAymMkhHf6r3n6Jf3ceUfMadSmwCb7tsPKqe\nwryHt968qeDRpsTTZy9c+Ct+cMzcec/67Xr8+tivF9SMSwIOx0LMwuH9LzvizzyyP3V2Xcmz\nzBjdWMiDgDQyOy8v02w2cZzdlqMz6kJyptmEWaxJMpoZq+qfdjvOT9lZeJxMHAx2Lda9qn0e\nOpxlvFjmm+Kz+Wwir5o7hRkjz/+XuzaU3fb66z7/yGqj40vmn9efO7e+Pzzbn5PK9Sq2McJW\nhAlwv/RjYfRog8GWYx7PsmZbIeedOMxRJw+zC8AbRtfJBgMP/hw05yzPYTLZnByezwzJvAVG\nhmSw93qxy4udXmz3YqsXo14MeXGCxpz/XawpEatQr6DoLx1MmUMBV7ekG1FcNmmyHwdyDL1Z\n7LbUxmxaKhJz8DLvDJxOaZShOMNHdz/+wVeft9626qbMn4/HDW/9Zszlhe7qmc3z9PrAkcZF\nD8uvrlkfXJi3b9vTh/Tc5RtW1jfyOPKF7sT4UJ2h1bK09c4l9zQ+0iBzzITmukhUe68kP0ws\n5eKJz+g9ZJNMjA44hGMyqq8h1Ixky9w2F7cnsXTdOs2vLclTulWUkwsoZ5Szlny70WSyW9hC\npzkfs9n8/NxcWCjncmC0GCVjyNhp7DKeMPYZjVks1Sz9QjkrV3Bqzh4A6WLvkvcJjgBC3ifk\n5us5ccRIpswCbi+XbxiPrONviW/R/Gcc9dDOqxOvnng38cZuvAErP8TxMw9P/CN3PvG7xPlE\nf+JV9Mx+/hfdOOtDrMPVyrMVd6xLvUvpXsL+nXKHA6LS5TaetxoNVkNBYS6xrQYbmx2SWcuJ\nQuwtRKUQz2ptshD7CnGQ2VWIrYVq9pivZZCVAxmEMrV/SPagXaReHJSpJ2mnSe1RCqFTNX3a\n7ruUpw6PiYbXbD90yIDs2mWL9v+mv5R5buXyScpD/et0byVWT1+XQTF8Lxk9nexV7z43STWs\nwQAcZzTpzJwNoYG8lTRhnwlPmrDXhIoJd5mw3YStJnSZEEx4doioy4SdJpyjiQaiduVgSafB\nwZNHVym6hLBk8b2HDh3SCfv2ne/jpl14jTDsUDGkc1UITVKF1WTKgMKMQmeR1Q52Ot92S7Y5\nA2wnirC3CJUiPKu1ySLsK8JBZlcRthZ9B0RvOgdfAqJ7CHiTLvMNZ/J9aVjZ8jHXyOu2HdLv\nRYZl2Bm7Vx14gnnu+lsmHXi0fxPb8CJloPI5rfO73+ov1TzPgnrrzQKOmU3P4WAhTg6sgSQ2\nYBPehqvxAeY15n2hWJggTBP2uUckk+p9FLqwHqMkvystzyV5+aD8+wvSGu/jw7gTH6W/rvTf\na/T3Or7+gzPV3JWymAMdXU8NPzAy+7/R9H2FXvN0BzZqfZPW5oB5UGoZMjLjf7jC/5Oie4tO\n5110k7LBKq29pHDT6C14K0DylEpdbBNX/99akXIkHIIXYT90XSLqgNWgfasNKS/BL+EZrbcD\nNv2A2qOwN93bCtvhnu8dtwzWk57Haf2LJUrcVfAzWrkHnqJwHoE+WvX6tPQ9eOO/VoUf4hvw\nADxNIx+AI9TuoONwB3MOHmDq4SbmD+xaWEdZsQt24VLYTOOj8DjOgwWwLq1gASyG5d9RGodO\neAJupy/ewaJbm/wcsr89SJbfS3q2wVJYQZ40fzs8eQ4mcX+C7MQ78BLrItufg8PalLUDcw01\n7DLmeYbpf5CILfQdtQWa8I9k5yb2ih9A839d9Gu5Fsjj3lRjKPm7xBqy/T3y0DFC421p5rxG\nORKe21BfF5oz+6ora380q2ZmMFBdVXmF5J8xveLyaeVTp0wumzihdPy4saMuK/aMFEe4XY48\n3mLOyc7MMBkNeh3HMghjBQWjAYX1CHywSQyITTXjxgoBR0v1uLEBMRhVhCZBoQdXLNbUaCyx\nSRGiglJMj6Yh7Kgi0cjrvjNSSo2UBkeiRaiACnUJUVCOV4tCDzbWRai/qVqUBeW01r9K63PF\nGpFNhNtNMzSrVGuFgBK8pSUeiJKN2J2ZUSVWLc4YNxa6MzKpm0k9ZZTY2o2jZqDWYUYFpnUz\nYMxWl6WdBpqalVBdJFDtdLvlcWNnKTlitSaCKk2loq9SDJpKYalqOtwndI/tjW/sscC10ZKs\nZrG56ZqIwjbR3DgbiMfvUfgSZbRYrYy+/RMH7XyxMlasDiglqtba+sF1ai8uiYrOYxGF+JdA\n2xFPn7qU05Tm6D2WL0HtKkyVgvURt1qcQcI6Hg+KQjAejTf1JNuvFQWLGO/Oyoq3BghuCEVI\nRU/y2H1OJbhRVizRFpwmp7cerK9VcuvmRRTGExRamohDP7/onup084NjQt8nBoKFwCGE3W4V\nhvt6JLiWCKW9LpKiBbjWeQCk0hJZYaKqpHdAYgurkvYByeD0qEi+rW2IxBXOM6tZDBDi9zUp\n7ddSdC1THSNalJyvnG4xbuWF8lJZGyuQVbOalwqKrphAollDJ1DcqFPiFo3I+Sr1OO2kBYp5\nq1AukhpVT0AMRNO/W1ocpEAgoGtKUoEwN6JI1dSRmtIeC3RPKKUZTVFy2NJqzZlKqdiq5ImV\ng95VzQosbYhoU9LTlLwqBaKL0rOU0oB2roRAPFqdMkHVJdZFjoIv2dc9SXAe9MEkkKvVwfYq\nirLiQDzSfJ3iijqb6dxdJ0ScbkWSycOyGFksq2FHCI3uc2rBIWuxMjdS2yDW1jVGpqYNSQlU\ndZwn8B01YsSZUkMBqBg9RiHCOFmZBlqIIQSpI1ZWUKsYPEaqFgJc46qBW1khRNAJA6PJDGW0\nEFhcnR6n0pco1anhVFUzoE2vkqSnqsbplt2pMm4sQ2IhvTDNMKqg1gyIKE2RwEjxWVWjsVQs\nHWrQCxFxsSiLLYIihSLq3lR4NJTTYGiYp3019xJqCFgEE7hJPECoYCrBEudQcJWZGj1I1nxH\nPGtALMSNYm1DXFUuphUCWT5LATWEpam8U8sF6oEWKfcKFjrS2oGOd0uSephbpqlKxFnNcbEh\nUqGNpnxyl/N2dS0r1GLt3MpxYym1VXaL2FHXLWFHQ2PkKF3nhI65kQMMMlXRSrl7JMkiRwUA\nSeMyKldlqoSgEqqmeiKM2njnUQmgXZNyGkOjF/XQl8DcwUHEQ1jUw6R4ltRCxdpCEt1nF/Vw\nKYk0MJojnjHFa9d4WukGFTIpQycZJZOUxWQzzm5UWQeIc4xu8PRZczALs9HZTbPqNXYPtneb\nJGdqRDuNkFIWdoQvLh1ujBzMApqmtbRQpVooXBwt5Gx6rQSEZjVQ7pRb4lFZPWxgJ9fQDxUU\nZ5CbxBlkiD5LyRAXVyqZYqXK96t8f4qvV/kGClG0I01vJ9+HFFQjYF7ETUdSKHzDGbecVj0l\nU1KJWz4dp32RMAXba3oP3LTQXPEluFL3uNelbx5Wnx/cMd5+4cn+BzOWGf4A6iWP0Wao3wZg\nmJGYDVUZhy48ef72jGVp/sXC6wGOczEIMeXwAj13Ul1CdTbVUqr1VDdQvZrkLvXJxZIf6n4F\nLdS/H38F99KzI63rSqontEUBI1S/IKOJZufS/ZZCi3ufblMK3U6mklUkN9A8I80xfkve6lT/\nj0CbymM9zIVr6HuGoe+LUuoB8zjDURzgFW5ymh8QyyGMM9LPSpTo7uzCK+jpoufl4MNpxJ9K\nT5KDhAb135q0dhdy0l7s7cf9/Qj9mDHnAgoX8MvQKNe54CjXvwfHuM4GS1wLz6w5w5jPzDmz\n8MzmM/vP6DI//WS46+OPgi7zRyh9FLS7PuwLut7uO9l3po+V+nyTg31Bh+vvp5Ou0/iX8Kma\nz8J/80L4r3/5S/jPNRD+EyRdH0w/GT6JbPjfprPh99mky/yu611Ga6RfO5zBt1/BF3srXC+H\nil0//8UoV/Iohnpae9p72J5kr5TssXqDriP+I3OOLD+y5siuI/uPGBzPY+uBrgPKAdZ8ADsP\no3IYzYfRaD7oP3jmINuudCqMovQqJxS2dL9/P9P1rPIs0/vsiWeZ0n3+fcyuZ7B374m9zJw9\nm/cwpXuW73lpT3IPt3PHSFdoBy7fhi9tw23BYa6Htua7zFtdW9ds3bw1uVU3YYu0hWnfgq2b\n2zcznZuxd/OJzcycjQs3Lt/I/iSYdO26Gzesn+hqi/ldMdrI8psqXDcFy1yF6AgX+Bxhg48N\n62nrUZItpHpNcKJrXmONq5GeuV5rWEfwcF42fAOLWWwFeyV7A3snqztTl5Sa6xiprmxqUKrz\njAq+HcJZQcFVQ5pnUt0fxJPBM0GmPYh2ry3Mozls8ZrDdDsNI6DLZfabF5rXmDmzudQ8x7zc\nvNl80pw0G/zEO2NmlwPOAWy3ow57sLN7bkNJSW2PIUk3HUNonoIdiqdBbaW6RkXfoUC4cV6k\nG/F++e5Nm6ByWK3ibYgo0WFyrdJMHUnttFPHMqzbDpVyrC3WdnOJWjDVgbaSklhM7aFKlaRk\nWg9LYiSmYTSJiLabIVYSa8NYrA1ibcSP4QLqx2IQI34MaQrVWEla/6AmWmABKaKmLbVELEbz\nYqQnll7OsQD+ATDCcykKZW5kc3RyZWFtCmVuZG9iagoxMiAwIG9iagogICA0Njk5CmVuZG9i\nagoxMyAwIG9iago8PCAvTGVuZ3RoIDE0IDAgUgogICAvRmlsdGVyIC9GbGF0ZURlY29kZQo+\nPgpzdHJlYW0KeJxdkc1uwyAMx+88hY/docpHU7pKKNLUXXLYh5btAVIwHdJCEEkPefthXHXS\nDuAf9t8WtotT99x5t0DxHifd4wLWeRNxnq5RI5zx4ryoajBOL7dXvvU4BFGk5H6dFxw7byeh\nFBQfKTgvcYXNk5nO+CAAoHiLBqPzF9h8nXp29dcQfnBEv0Ap2hYM2lTuZQivw4hQ5ORtZ1Lc\nLes2pf0pPteAUOd3xV/Sk8E5DBrj4C8oVFm2oKxtBXrzL1ZJTjlb/T1EoXYkLctkhKoxczLJ\nX7G/Iq6Za+Id8464YW6I98z7xJL1kvSS/ZL8B9YfSC+5vqT6e5s5GaEart9QffnImkfiI/OR\nmP+ZDDV464RapZ3cZ6ivMabx5cXludHEnMf7bsMUKCufX8caktgKZW5kc3RyZWFtCmVuZG9i\nagoxNCAwIG9iagogICAyOTkKZW5kb2JqCjE1IDAgb2JqCjw8IC9UeXBlIC9Gb250RGVzY3Jp\ncHRvcgogICAvRm9udE5hbWUgL09PWU9ZWCtMaWJlcmF0aW9uU2FucwogICAvRm9udEZhbWls\neSAoTGliZXJhdGlvbiBTYW5zKQogICAvRmxhZ3MgMzIKICAgL0ZvbnRCQm94IFsgLTU0MyAt\nMzAzIDEzMDEgOTc5IF0KICAgL0l0YWxpY0FuZ2xlIDAKICAgL0FzY2VudCA5MDUKICAgL0Rl\nc2NlbnQgLTIxMQogICAvQ2FwSGVpZ2h0IDk3OQogICAvU3RlbVYgODAKICAgL1N0ZW1IIDgw\nCiAgIC9Gb250RmlsZTIgMTEgMCBSCj4+CmVuZG9iago3IDAgb2JqCjw8IC9UeXBlIC9Gb250\nCiAgIC9TdWJ0eXBlIC9UcnVlVHlwZQogICAvQmFzZUZvbnQgL09PWU9ZWCtMaWJlcmF0aW9u\nU2FucwogICAvRmlyc3RDaGFyIDMyCiAgIC9MYXN0Q2hhciAxMTYKICAgL0ZvbnREZXNjcmlw\ndG9yIDE1IDAgUgogICAvRW5jb2RpbmcgL1dpbkFuc2lFbmNvZGluZwogICAvV2lkdGhzIFsg\nMCAwIDAgMCAwIDAgMCAwIDAgMCAwIDAgMCAwIDI3Ny44MzIwMzEgMCA1NTYuMTUyMzQ0IDU1\nNi4xNTIzNDQgNTU2LjE1MjM0NCA1NTYuMTUyMzQ0IDU1Ni4xNTIzNDQgNTU2LjE1MjM0NCAw\nIDAgMCAwIDAgMCAwIDAgMCAwIDAgMCAwIDcyMi4xNjc5NjkgMCAwIDAgMCAwIDAgMCAwIDAg\nMCAwIDAgMCAwIDAgMCAwIDAgMCAwIDAgMCAwIDAgMCAwIDAgNTU2LjE1MjM0NCAwIDU1Ni4x\nNTIzNDQgNTU2LjE1MjM0NCAwIDAgNTU2LjE1MjM0NCAwIDAgNTU2LjE1MjM0NCAyMjIuMTY3\nOTY5IDAgMCAwIDAgNTU2LjE1MjM0NCAwIDAgMCAwIDAgMjc3LjgzMjAzMSBdCiAgICAvVG9V\nbmljb2RlIDEzIDAgUgo+PgplbmRvYmoKMTAgMCBvYmoKPDwgL1R5cGUgL09ialN0bQogICAv\nTGVuZ3RoIDE4IDAgUgogICAvTiA0CiAgIC9GaXJzdCAyMwogICAvRmlsdGVyIC9GbGF0ZURl\nY29kZQo+PgpzdHJlYW0KeJxVkcFrgzAUxu/5K95loBdNrNquSA9VKGMMxO7UsUOIDxsYRpI4\n1v9+SawdI+Twfnzvfd9LGFDCSigoyYDlJWFb2JTPpKogfb9NCGnLBzQEANJX2Rv4gAwodPAZ\nUK3m0QIjh0PoaLXqZ4EaIsGlVsAStktyiK7WTmafpoEOmk9XKUyi9BDHyxiN3Eo1NtwiRM0+\no1nBaLajBWN0e4nX+X+J4Mm5+taWa/QRfKgA3rCX/Kh+XFLqTkHzcNe8o3VyA/lDf9JqnqCq\nfOHrxSPQFZ0d1Xw0k/cStxW/gNUzrlXtVA1+S4Hd6eihy+x5h0bNWqCBzcPz7BqFXaIb9wH/\n1qu55V9quG/nHv++nBP9ApTCbhwKZW5kc3RyZWFtCmVuZG9iagoxOCAwIG9iagogICAyNzUK\nZW5kb2JqCjE5IDAgb2JqCjw8IC9UeXBlIC9YUmVmCiAgIC9MZW5ndGggODYKICAgL0ZpbHRl\nciAvRmxhdGVEZWNvZGUKICAgL1NpemUgMjAKICAgL1cgWzEgMyAyXQogICAvUm9vdCAxNyAw\nIFIKICAgL0luZm8gMTYgMCBSCj4+CnN0cmVhbQp4nGNgYGD4/5+JgYGLgQFMMjEyMZoyMDAy\nMPADSSZGGbA4B4gtvgkssghEMqmASMljYLYliBT5AiJFeUCkWBuYnAs1kxFMMjMySfuBxKVT\nGRgAMWAI1gplbmRzdHJlYW0KZW5kb2JqCnN0YXJ0eHJlZgoxMzgwODUKJSVFT0YK",
      "text/html": [
       "<img src=\"https://cdn.kesci.com/upload/rt/D4DD50EC333C471E9B1465CCF912466C/t4tt2k7bbo.svg\">"
      ],
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "application/pdf": {
       "height": 420,
       "width": 420
      },
      "image/jpeg": {
       "height": 420,
       "width": 420
      },
      "image/png": {
       "height": 420,
       "width": 420
      },
      "image/svg+xml": {
       "height": 420,
       "isolated": true,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "trace_beta_1 <- bayesplot::mcmc_trace(\n",
    "  fit_posterior,\n",
    "  pars = \"beta_1\"\n",
    ") +\n",
    "  papaja::theme_apa()\n",
    "\n",
    "  trace_beta_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "id": "C99B5FD3BCA74DF68006F520F9D949A9",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "vscode": {
     "languageId": "r"
    }
   },
   "outputs": [
    {
     "data": {
      "application/pdf": 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v5Ymava6fsrxEYr1T5qkGNO9cw4IuawDhlrDB5udWGVtqjB0iga9TKq4TzjimcL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\nJnNV60hHatZLPw1Furodls3ePATZCzH1RDbY8m7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p4bkwPyup2Hnhxa22X05bop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VbljKzX6KoHvSYd1t5FU5UzjzkMALiv4zkG\nXju+7Z7o8srx7atwL/ZdlOUb6qx8ur1d1OirK7xKBXc2CThGGG5ioTWtcOX4xu5R78OoIyUN\nPo1M759OQ6I3nh0k5j4ZiBEnHlqdA69aAtXxNrnb7aDTw17dbh0pWyh+QqjKuc+16XY76JQI\nze5QvHnmmx3DNYyds/379w3wp+juxvLtnduvHd92vAavDN8ooxo6cbDM97+V4vwZRmWMI+v/\nHa4Jeez7ld8bXUpaAHrz91dNd8ezHC95jdoyPksvIIg213mLm6wIyE9YHQCIXY2fh/2dqmSE\nptq/hS3ffkTmndbl0OnQiNs32sQPJUhVjKRZXyBbnIqZmDvNkG6FbYJIkY53brpyfOv9JBdx\nxcVTcTMytCzHqzg9QYw5oXYYedtp6snk5UWGb5W+ORkHDGntWgo4E5YLGWtK7oGIx8zDs54q\nJyvykipnuAj+E2FHy1SnS5IlYRHNzrswJ7qcJY0o6GzO/H/kFKu6yPtQDWTL9st3zH5va6ak\n6cbv7f4ZeS+azb8OG3f9mjPeh/C2voITez5QJ6nQ4NLv7aMZqmKra8M3lvsYoCKn/z5qk+Gs\nrD+aQfb/pKf8DCDovK8U/ErOBLcZP26yekPc7FTzldcbqWpb1l2bvd1XjHi39Tj1z0CsYbzP\nleiKIZfN/M1ANHtLr1Q1vGrunfYQ7J8n2ZF7LMZ5HZGAXB0YfW+OncZfb6wrozdonH5vIjuK\n6jExlldObx/Fsjef9ejRmoHYlfE1fwIyu1S3+wFIrFEa6wfwqCnjy9xeOb21k+ulyTh0Zy1X\nx6BztRBACMrcDtbRCBC2iB7vp1JVGnMtOl5fubxRvecDAQ+FqsvwrnRVu1jqO7NchZ395SKQ\n9ZpqDuFg/8rQ7KO1pi+IP1GvT9Zx5aIFqtBWslfu9NgkzUsCce1idyUFOK7OtON634K0aH/l\nhNc+b9TOGSAriiNdZul1Q8blfYLr+hALoxQxwxmW2A0TLERQD7LUwfDfT0Wu/aRFuF5DUlR2\nvwZWl8h9BCEpWtLMighTitxP81mU4dz0ciUzX3c4tyBHOpGVl4AUZSeKHYQinLH+fJY6MnY/\nWNSF6RCsJ5/AlSzgvzPsR0gmb9hqtUmp+U2lwZQ0bHnAa/mLIOQcvIqbgRBQjdL9exFB0Hm7\n9wk2DcVNhZ0RD4ZAppsuXt13+bzVEx4BCHnR6cSxEDa3imQYCDZEGHergRJle6yx616uiMBm\nvJpl5NxHtr4NPzndBq+o+VOVCRFKRto1z0OHziYzGUXXRGhTU95Xl81bs5hUCPwCU1Bh5MhX\nXx0eUqNGVfPNuxh27mWNFJEtx+w7PiMSjtoGj8DVc1Jq3sRujMdsGleypuwkRYmfoCMHNe3G\nVMtChWNr3X9VsFTFpl0/FfJ4IwMz/OSoQJCCkJq3kRgdv9sq39yfHzYQCnHYeK1lIOlG0z6B\nTlLuaCwenUdfmc9KKEEAe+aTNX801OdZpHofYEPyohLw80O2DkueCnZ5o/1CRmZmWVFi3iWX\nt/Lm85AWB8XQnnbDtjnz/RpDDfHUNnEYks9491UTCUXa8hpaYUZGBmDQJPUt0ISWPIWVcE95\nFv1lT8YhSbqOD2tMbMsk9fckDDuNb4dwRKDHme3P92DhYhuu8qWXHPptAto7n089Tjv/GNDp\nfLRiLSmR/ybBGP94KtDmDZmtk0VqMuqE6YPy20Swe45jLkEeddo9l+fvtGx0plVx3IO4lbwP\nI0l61nsupzjSc94kn/bOIc2XgaTHqdYiE7mqRBb3DIROb7WZs+quuKXHvrJ/hI5PdHrNctyZ\nmiMgrAX5v4i7UDTpsGmyiOlx21vvZPXG6lrfNFu9PX9pIGRJuzoseyCKco4NZFiKNn46NSHp\nipGFYbkfo3/3jxBYUuzovovL5jntzcRlTU53ShcIfcZ73JyZuGVbjJa6Xx0CVYmsmJ+xdRUL\noGykom0JI/Ke/z7CHWXONsQCxh6/DyLLfRa8YdnqDdvAycCDvaXKcVYHEBgcxIIyNQBCWQ70\n0uMhbGkcx0rbblM14T9FknaHPkS21oT+BqHH+ArL3Yssm90fAHEuqxehzvOzdRRxjvSYJMLC\ni99pQ4kZljtszQExUGxv7ft3TJLu9yscN2O8Fj4xyi6Kw5bsOAhJ2bmWXyKOtDiWJXInj17n\nXTIe6SqRmYDTRO6PdzU0GO8RFZDzHRL0Ns+J61aM813xFRnIOeBlX4kZ5jT99GvhlqzrGJEk\n51isS/FHG58N2TI2Pd7YoXcaIUn6qoSA0OKtDKfDibBFx/ltsde9GJuFc0DU4iqBDRF1JVbu\nh97ROF1wwABXRTE7n0RBzoqtEVtviT5R8EbgSHq0JARgG/ohlw1vS7VYNPp+9VoeRbreQGJI\nR5INhK6o1t/HM+Zcw92OgUyXKnhJr3R4602X+AlZrK+7psIpmkR2ccVvhshW4OA9iN0S+XzS\nI0+dJhBq1pF8rjzP7t8pVW3xVlMsQIQWb8pX/yvPQzVkTJ87IIw6Z4yUiWDnbHFMA6IKkKlf\nUAO5tame/hqbt9hy0qe6K7HiRQXIPa4fXkbIRfRiTTYQFoCs6SacRNBMah6T7jR9n3EEyzf9\nLyz8SE/MXA/txcGKaaOq6oDC1spzGKFpzvqNo6q1rz+BOiBcz1zvW8jlDaX3O6+gZw6E6iUI\naxZp+qR9k/peaX9uhmHcWVLLAIQeb3slIKrNBuMqf/0E0WEcXgg1b0PgmbsrhIHndec1Iow8\nt/YFD0R+9ITQEe9Qte36m9njrTdrt4lg45xiVz5BFOSMpCUY0VHNemzySMTy0fzOTONBWcAQ\nRHYsJEhHsy+fmqAp3JLuk+Vf2DhvDDZVEKb4WbkmekWjAMSGZnpN9KNj52vQYXy0f94ly+XN\nbey7qvs/ZUk8pYbKFs/MTgr1d7PN/g1gAalPNVU+b+UqLhNCfrS/Y7krLXDF0jpQB99VgL38\nCEL5oi48Oq9U2bz1EsFLr7F5K+aTiZDGu29GqY0UxFsuUJc5BWyKi4kdIvu+hLwQKnJmbNtp\nLIJIr9qVyl4jWxVJvqnyeasntSVEWPnf/JfMxd1QkwhWYLnZPeQoV+bYo8rjLf7YQqjHYcf2\nfM7E1omjkaykAFGR0+JkTgSmcz0FYFG6suin5xJPOzJyzGJoj7eS2jt2OsXW2W9OZmhYYDeF\nrMXL3a3w0x4jjDvPNBUKhOWK2NMVElRZvN2wKFUObySH1L6S0NWxK1vMUtTZo3NkXqLpHio2\nrBKc8Px7dPSpdnhrI4fJqmeKC97MJctc/OZAgk56XT69WCE8EGU5x1IxIqRHV1xPQAdQPrri\nnk1EwlC5+QMgP3pTYQSEQScc4/pDtnqAZnennI41lL5A+rv97fBBaN1HNAshPVqT8zJfQd2j\nT0NopAeGWmPnbQw6y3p7uRze2OagBDkknffbP2jw9uGw6jCrqlU7LDuyFRz3tzrvCTxc8UjD\neb+XwdunfgLDEFlS+34aOTrr58OOyhVPf/u9DDU+BYczEMU5661I8ngD+TRWrogG4ztuukSw\ne9ay36PJMLqftEUhcGWjk5VN/lBWjQlg1Fn4oH+Bjtp+mFqpsnj7JfCBqBnjfk+hXCe6Wrx/\nhhh2jv5m1X1hZ+7idTuMSKWAyOENGfiZgYY9Un8vIlG6zpsfymezm6Kf32txTpdVoiDqR+t6\na4493iDInrkiUqUtHs1A2ONEnr+fkduczOG7mnIsrFE+QdjgqsZ6kggFpIPH+E8Q5TlgNrdf\nw36Mdzh3SGQrPSRpJRAGnlHufoJA3q4hrTedIOhVE3sFINTnUBWWkSnPOd1HxI+Vv5PpM2UQ\nALAjY3czXAJ4yYnvJRDsV1xE/NVp8fYxv+EdocXjLf1g6UKGHXS8NZA90dmvzn9JntPSq5ey\npqr2veZAmy3eblotsgWlu+46hG2qTqDESGXNhPb/0jJYAOsVbetrhOLLEl672eENnMec+vmq\nqdKRB6yJQqBgVExYU96TlJHvRVN7q3LjMUII2cX9Au8mb7eTLiMseS5dmQAdHZod3pLx+wiB\nKYXhuScvENzU1yWMic8p8YI5ahzkq+o4uAJpIFUtJqPR2ita9GmwyeKNrHPPyFs6FomBaFrC\nMwY8rFu+F6JPtB3wvtvs8Ea5ka6nmygtNhQhcphITdEwICp0VqRZQLAr435k9sq7Cdplb32N\nBm8fpLnnvYYObxQa5zUgSuHOKB8funC4mcR+lwhaB4uFecgmTVatMzxkUzF+5oQRRHs7tfJc\nZYb4lSm9Bzl/eIzDtXrmw8iT9uvKGxwccNxAhsc8bVNeAF/+v9vxGYoZkueCXN6owvOzK5c3\nyq+ULYFm1XsoO3sKwvO9+59PZ/wJulnZLVvzsCpmBWHholNanFOyees7rRxJBfPMVVyQSeTc\np/IQwsrF6063Gog1IaM4q9Hk9MaNhn/L6K0+B10gmBP78SQA1vmYUMkjj1hDx3V/z6noUz7r\nAujyNh5F1Wzy1imE+AId2Xfka06xpKVYNguElYvzWOxBhGnGFZUGIHXESFkz/frg8tan88ZE\nlrwxfL5qMhuhWem8GSgNrhwFwe3S+6dPITiqsxzk9/Da5m3x/nxCqM6BQEbnq2ajN2TkvBFK\nwas2zUHMWV+nk4Dc9ur+9RpWL+6TALAtu4zvpE/aEk063LhZA1GfU89byJcFOr/dctk3J26w\nQFi+SBcRUTV4uPcLNS2dp+Gw+Iym2ifmpHQmajq+cj308rPpTEAPJy/ZMtJVgVnehYlTbQ8s\nBMQlZ83Ia2ZxQn57Am0VMO50DwXC+HOVN6G3TXN+6yGdWOxm9q7o/yTAZLOsRLWUW0BkM54q\nblaclyOzC+e7AClWyu5kn7f6Et5NPm9p/SmEZGmKbQRRnqNKAQMIQfdjDJvsbED5ZuWXZwfS\ntyBhPkPbP2nNi8iV9vHnmsmV/qhRIEuFSm2ODHRsPNffFbEohA1GqxHypVxddKdl83aVavhX\nPZBYwYi74N3g8lGvFC4aYP1iue/ZuakJWTXjMhfP0m6dat1mh3YuXkvs8raPK9+7d1uql72I\nXjVTopnIyYexKmTF3QBI9itTWU02bxScvW/BXrMsFsjXYAXjs3gistzhhQMjOLbA1YfazppE\nllLIdhMI5aQtxl6UbDnN6Axml8kbtbzvNSxgbDeVvUxXFbflO3kbHr/KAikDOLFgGb95hcoX\n5byEH7AzLZHCAL2GCp29stL2YovxbTkeEASeDNPUhROQmjG2HB26CqD4eGoR7/Z4KyU3rEql\ng21Vix8QqnTKTZQITgt3td8wMV0djpB+MnvbY/G2rc8DwoSnPH9bINnNy57GZwgxIisIyxcx\nQ0fepPhzpKMU+3LTC3tk/nSZvMmxN8iZkqVquXFykw0FjxICXVkRikz88c0B6Mpe3W3yNnZC\n0i6PN7DJVWRpt8kbaih0uOlyzGPeUM9yVwk2TmSazuwJpy6cXHx1pzAHEJOZ2etyeeONHhlZ\nZGksPYk4DUs+9YtbBcWAioF8CmWIWvPxh+TtsZM8NyGT0FrEORD7MdanouiSsTFY1PKLFB72\nz/5y10BwW2E7cQw0ZhlpbpB3qYDxnRm7bN7ilCGEfGkpPhWBHFQWVcWmBJaK0oontBgIcBzn\nXZ/sctb76rZ4gy2M2K0uizc+i6LNu8ph4Eta35eQUGcl7+kVv+5n1kaI/G3ccdlxtqvnhBNB\nfYQuTSaxy+IN6cclnSogNH2Y483noQD01RsBGelb/y6IYtJyooLvXmhoILzyYaRMRwmT18ej\nTPM0q/CIjYXKyEB0GY/xtxDUiMBgUdnOLou3X+alT7djnC4f/whhA91xA2GemDe2vZHluMMq\nCdHDQHBfcfT5DdTds9JcTbfF2zxhRLst3nCM1v6Elno2Xbv5rInlAIuJN2K01Btqqu6DXJfF\nG5sSKEPa7fB2ns6N9DKqT0oa7BBiwrFapwuEIehJ8QvpwaYg2VRDXw5BZ2x7AKme8XdF8nhr\njs+M7O3HNwPhPE1xpvc1EYb0UfaOoIpddjk6uSDSpuMm7d7l8PapffgyhCW8zpfX7ssu4/M9\n4nICAjdukrTrofwwic2Jdrm84VbnJTR5W+ut/zJ5o2zQi5mYAXYQ297UWZeT1JoARqBrvHlv\njzf7wQkhaQpeQVPKFm9so5Q3kTJ1iurfdzDH3DQZjQZ6JQ1abgZiADrTg5EWTJ3CGAdGXeXo\nTMt4/ZXDG3u/33yWrHOeXzEhL2b+AcWyUTrsiWCDtxGKrovLFdUnfrIf1zP2f7yuHxGmKHzZ\nQbodsR1L9vOqGV2HROiozabVBN0Gb3W9lUtuirSNPLlCEqZNcZEHYgh6RvQ9oP+xhSKG89xQ\ny6kEY0LYk1HBDpcpO7yd/ZZbO7yNG37NjFCrT5Ok6cdjcbZQnT/6fOfhboc3myAZYVPG9pYy\nO7ztFGRwIBKmr/0tEIag92nosPA2hRDWx3R7vFV7UwJgw0XoIkaGoVbnzncIuq+i0Vx5VxU/\n/V80F0ZRI3BNA9RUs4ph5zceyhfyaKV77Ho2ZT+nERKm3Lb462F9rTZOVkho4oLBeMs4w75o\nsqFQ5krSfZs1KCH4x4YXAPnS/o4pQwzSr1ISCJtcDVn2/qsiq6Oqit+nky49NeeNYXs3HJZ0\ndhjVNuPXBN1HaKtFtTm7Ue2fY48dAgg/7yP2h1rMpsO9kJ6Eo6mtUW0znjZXQKTVuQnZRzVd\nenIUB8KEI/tmGVF1yNM/Dnu83ZJteNDjjd9YHMyIxRvity/IlSeS9wrczakvauE2Ouo1Hv1M\npowYvGlqf0QqmxlHtzfk74b0gPYA3wFy8DOj0DqnpmaJCEWuiK1FQQ8RErRoEgE+7PD2SyGw\nQ5+qpn1H5fBGj6HfJauY8e2JQLaqOvwLN7W3Kg6fh+3dUDLmbP9QbpuODBrW9m7jRHE7tJ83\ndocOosBz8lj7CWLkCS7uDUSedN9sQUPKO7pjiE0Y9Hej4XJuu2oB0wTtX3eB1vd0ADK6Q8+3\ngiBbt3T84972AUkhow8jwwZvtP3JFZImndHSDjkl00rcP01X7fOPNx1STzMS6AZqkQOsebhh\nh7ea5nk0XRefZysDIld9DnNTx4s7HaGgnV5Vyb8ZmmGHt05FZQYiUQqdjOKqIYs3EgY9Q6uK\ncdnWHQhlOouGRxmIgefuiRPQT2/KWcTU+5DJW2XHsXwYeVKKlpV6HHJ5k4brGmHk2XbiXiCI\nPH+qZfTT63LLcMVPH7J5wypmtf6wzdvuCSKHfN5GPJwIXMmNsel+giaFwym77UM2Xmw63zMO\n+zG2lYzKsNEb5PKy5AVEpnS9bQkIGzKmJgoIY8/xyEkgCD29fC/b5qyYIQFSGeN6a4SM3sgM\ni24ZMnr78ysvfuPv19KH0LYFuc6O9HB1oy8voHF6O2+Ky+mNtTC/D1veOrvXsUWmFEkyE/Tw\n0YNS5/XOY4USaIQ61ciGwHFnDZ1Th4zeEGfmWbHRW33yh8HGw4g0/jthf0ao07klGTEgV3bJ\n2XJs9HaOpbHDPm+Hpo36+Wz01t1+nVWQbNBRw5wO+dTTm7g8ZEtpzKfpI8QKEXAJJ98CPCmU\njOUBSzrGTDnbvLXsiV936wPyHSMXjciA1LI+XUYLNMTV0XHI541a4gBM+tPzyQutbN5I8Xp6\nw2eByTinWMdxY6uSRAmQi3LsuRPjDYXakH729zb8BJCZrvc29mLsvy/h2L+1NGwERKmOKyOM\nbAcNJ6+hf04tb3dQffDHurb3ZWX09kQMw05vZyeoAqLNM99MKz4NRq/XqKug89T3uNvpbcV1\nCghVpeelK4ad3u5Wst7Qku2A+RYXQ7aWIlciVyUA+RpyejuKOT8hpEqxFV6/REZvw39RpsNg\nPR/jJtg5D5Ba/yRnExc+pbTDnPMzOu3xxkaTJwiKMXBIaAZo8dbK4zUAUeJ6I5BCEz3c0hJz\nEyBy0BnZlCc93uz19BmJx1vNh5MjvY8In7LVoxvxyCVjotjcFM8fEAZL00/blMFbX+kUBkQU\n6ckWPG3wVqLO+uhTg60Txcd6/KfavHEP1qMEZMsqSIWdQOQovvMlaO/2kQjyWWNWS3T6u4U2\neMP6pHkyJfT4ueYDYUK7z5Uc0ZSTDxstnYeo5MWnvlmtJz1h86b83ViE61wuoKU8ifdb9NET\n6+NzFoDb7Pao794kKKWfz2dEgtJHD085vPEUrw14ymf+taYlwnhzqWbPyLY8++SzhptCWuMA\nL9LXLNJ/LzWb1K/1ASJFukoiBqqkZF3rrXQyg0G/hJHrY7T5i/AmDd4+Ua0z76JAZzwSYcri\njQnh8ZAlR1lHObNLyEV3T+23U0aotCLSUjzt8nZ6TvuTLm+1vm172uUNzt/O5KKFHs1e5p9x\nEHPWEVeiLqM0HGq8KaKgExvnPuobZugq32EF4JTL2/9FKNFpN9sHEHYyHk9gNuVxMMrIOWfq\noNRPKp6JwLNmxD0DiIoZ4YTiOSWbNz5POtrMIROdG1MJHkSwed6sjgBufVWAnyAypHtmq5zy\nedvbxhMEjlhlP+9DCp2W/97wIKSAvwWR4NUb/ZTHJ44ifeZKwIzyxNDyGjKjlZVW+o7xeXtH\nciBHB2CzeiAgsV6WtE1UgbcKHbqrgqec3pBBcpqdjto62h//Pdw2wvH5lCFDrSPmA4AQcUJj\nWfLhFGnE/5fVwf/t1Oc6dJyyeUPiLnMiNm99hw+aqloHneLdGer0IsXyu5jr2n/zz/DphEaQ\nLS29nsvnjfVnngBLzRdfinnK543aNd+IZV0O48TPUKfN6DT3hIVV+X7LxKdc3lT2Uo1QlnOd\nu9ZyzArGnxKG3QiGenqdvG27E0f2gCXjnLZjSckijSljFnMw0zZvc75dUzZv86UQpo4fcrZS\nMmvKWEJukNsvYshZnhhu2udtjHAR0z5vJWkpDkRmtD9mcsrnrbWX6pxKf9MJvhpgOys2WM7I\nbGfVX3dVQls5wVkyMnnRfSPGm9u8aEnOazLb/Slv+K6aIed9zBGQMIr+FePzdt+CQZ+3j4KH\nzBj5vM0VIc6U8y03An/V4xLG+ebH4eb8UZLqrTRGb78f0U5vDA/zNpYw3hqynf2yMctv+pvK\nKHIoy9INMOJcLdHtVBUfLapHAId418znPGJGZ8wf+/TzpR9CffTYBVRk5VTd1K9XEhHaKtT2\nG4McIDSr9Q1EJemxXQSBff94/5Arg0q3/9k5ruLNPrOkXulyRgzugJAYhZjoXaEaMN5/LHWY\n18ToW7kvVTkoiMxbWMI49jsKXDeyyh769aVDE8M0PVzLNm81zjZAyIq2dCwjcq8ZsZmBGG2O\n2CqywSWTitMebkSOa4FmEPm8rWersDSJwKb+XkRZTpk2sASi7os7B5Yl+T5FB84hAkLACaH0\nzGWLGX3FIktOb/21egQiWc40ybl01IutqxG6E60ckhdV5o/m+vd10+Ci1QJsHmBuZFxLdDX2\nhp5hUsOYe1htKj5Sf7f0BU1NfIGOH7aRgejz9n8QUKNw8ZFzNBGs83J+yUBH3qY7L6EoB7LS\nkuthsDleCfqyyxvTWQpGll3eSkuAsOTyhlnmVNdSroxBxAlwqv3BtRTjcAxZztipNQbRXOTR\naOnOssvbeEYmyy5vq7qUjQOx9+KoOU9hPZEPu5/31azLae+OKfFD6cK7RLm8/Uqsl74iQ32d\nOJds3lhw4+miCoh4NgmpmlM7CbElmQHTbx6IbCqyg7+XNNt7eplYsnljU2yfk1c3QRpfQCLK\nw/j8Des0FvI9q4PV3caqxvqYEII8QUaoy6lPab+6yxjPn0s8Do+GC8ZXdx3jSdEiEC7yN0eZ\nJZs3c9YC8Bmw9U6xhAlGHCrzVVV7563WCKsYzzPLWDJK51FU5zw6jnPHd+3Vkssb2COf2ZZd\n3toTvi2x6FTxDQVagNROPWvSsKu4O0iyrXJxIeHM9bGGEWY0uTze8PZn/sjkTS4CGkflpuTF\nvY5Jysu4++Y19VjY5WPLossbeRU/KopHuZWXjEN2FKTWe81I9+I8KhO6nF7/eZ/EmNNWUkIo\nIr3VLRyJXEno3XJDtsuDJiH9fS0WMe6Z4yoLiK+ed21YS2Yp7IhqWwyUWBdRUJlP8nhrI6uW\nLN7YfN7f0xZvbcTBHBBDzhX5EVrmNUZhuRW6Uvqoe6mTwxuPiJ64LOr//latrDi8rcSy4LD7\nttdtPosR5/3tQ0uLMA5npkeWlgvKC3e+KC3edtrWAWEZ4zpRnCzaWny8986pLmmfWw/FtHR/\n/2QnlzzeqClTXLjo8Vbp76lD1VLtHQ2ZdwAbi+eJ3C5jVKcf/D1tBX0fQKMFOK94BY3FW0n9\n6LLFm5ohGmAN42PolgpTPrqm9gddF0MGYBerUjIv4vDWQt2yS55kb9vLnizeWDejVB88GbBx\n3ifqWTr3YpXxT37oLI7c1pQwa0mjxQJv/+QSb7OdwMzlSIrz1EpAUME47c6mgSTFKYmqnCNh\nMfHOx1OKU4ptZ4GIGpWlvQe61dJHv4QFjEj4eZpcS3Fq6FMgV3SlD/GQKC2bG9S8i/LRG+tG\nIgjyfqVTS7XMKprcRgaK/3nQn3kRxTiz/EHUxqonFlrSsCnRnoHWOvKvU/cEQC54dbQG4Hab\nj+RdDDrHq0SEDxpSIvR/8pnlqhokdtEoOBE3uv27b7u8gU3R2WMXN1uc8l8SRG60PfEqkKsG\n37qHW8wJE24jCKnR3uNtScjmqM757ti8xdUAzfGwa95Xsr9lF4bo3qdryiLVuNb71pbNm9yU\n873IjN6VIq1dxIyuiOd3EZETE6t/pX1lJL9SpYpmeXSdWxGbAdGEcpy4lSL5JOCchli72FaU\nj1sSkqrcvYBBw9mWH2vLJ4i+wCbRSDhe0oOOybds3mC05nm4ZfOG/I41wrvKWlyq6E8Iaxfr\n81gAsqXxtCgE62ZX5yPt9Fs2bwgEq5/ArRpKhH1msrdt3v4vctWdOV+sWY5Tn7PI1vrF7g06\nYaq40UzSNBKfN5O+Wz5vfbtBmAaa8iLykRNN80COjm79CQBa54zwClvO2jZTFHDgVEOZtye4\nfN6ohxz5cMpxzkwYD0Uk7ureIf+3V2EQic5ts45R8WJ9b4vPm9fDLZ83rht6lne3Hqf/bke3\nHudmx4N8mQYANfvtVuUe1W5abrZNj+kEoPjHWXaqbXZeJKO37oPEls8bnYbzUbQXP6zf+gI5\nWeschtO/JO+83MjnjZSv9sFtnze6aHt1GZLksALGAN1z5nNRAkJNTklCaQ+553Q9IZ8gUqTj\nUbbbPm+zp3p92+dttfewDPmLt+dpuRVrxypVr6Emp9ywukC2THm9ne9hktTqFQ1ElvSkER2R\npW6E3p+2jCxoN+efR9IWOi57B4XLEoQ592U7tq3eWixkiRz9HFm6bPWW9kwaaMhDwmXoAP67\nsTudoQEw8oSBl3/DGL296oZNozdr/fJRpElnjWQbCHsTjCzs8i+gfrbkJaxdRKjuKTXtnvOc\nO7Zt3s4I7b1t8zZj7UpkycXMigA0LemqfVS2H8DVPHQ0tCWSZ99630CZvNHRwuZs2yZv49qc\nbdvk7fRwJFvVPxR5+NlZr5tVc0bShYP1ZxC17fIGgrplaGpHe42j55bLG7XQ8w2EZw0uCi6s\nQ0nQrKzvtFwEtwE76EgrjK4bw9YnXjhs80aZgI6IWzZvyPye9y6WL+700wGCUlI4XXu5kd30\nB2VxNkNp/bHr+5bJ5I3ChplhEM1V/hhBpMnpcs0QBIqUJV3vm8Ze3IExRHM4lpwnudm6Nz4a\n76PmizwErkDS5Mw3EVSgpN6c3YgbGjsD5k5ybAPh00583t4DEJu38o4J0vjTxNc7/iFFWrm4\nfkaws5EE93N9XLr4qpntG8VduAVBtsuNlz8jUOS036HJRm8o+/b8ulbknPeo0+Y0jeY439Xf\nm3XSXnjt8zbcW6BL62bLkbyEipyVlM1HiKX/J/wRWufRPecxyFutEcQarCBbUhppmDjQoqHC\nE8lv27z1MMYAuHe+UqutjApdp2vexOI6KvV8o6+jzppf+djpbeeIdOT0FsZXCFsvoqrAanI0\nlis6CFuDB0S9We0Dhb55YGzn/DNyZzaIFPBnSKWLTxp2JItizbOOEkCOTsI+EB0R1bRcc8nY\nKY48nyLhyOkNmuUSgKvaTprw6NzBFkgWYxxJcTGBMoxsafvrkktEucN8U0lmqcTemgpHdlMI\nPUuGIUdKN4YMo9aLJ0T4qRbkPN85IOtKJGL5z5GoF2Glg+5TTZE+axgsuEv5vAxDhpT+SoqW\nT32li15Ejuwoafefr3XVFNMHnWOXN9iZu0jyyOatWVf2r/LlRRbNjjMtmOv3mSaibR7uKRI0\nZWYgVoFA3SjK5jAe+O/pTt+WfmT0BhreJ5Qjnzea4murODJ6q/uxAOiTB90lRI0r71JXq3eE\nQ2Ho/0m3HNq8qfTPe7ILS9ivR2v8sc/bfZqX02wwfkPGSB38sepX+78btMvD5AShzdtJQHbs\n8vbszbm8QwDalNs2wqqL6b8Ydo4nNwfixKJzr1DHTKk3mlpbA6J0dMfznohi1frGITm6arTQ\nTLQrZYID62doiU/2rsm9mnfLRyMe/paoBC8Zsnj76+p87PG2I4Y6wzWLLWfZowoI3GMthWdY\nkPMcpljFNdWJzKvsscfbekmCQ4+3/UiUM1yzOLM/n2FBTntCZ0BHP4x328OTXvW3E8CaRdiA\nzFwOyVEECEWSoWOLtz6SvDo6tbFDg3b+o6ousKNWqUJhByVrV6fiz9AzJMuLQI/SDfNkIAQx\n/ZXGAzjy06fX2EdojGnl8/WL6JrTWgqYjhypqQPzNmCbt3OfAc2xz9trfQWEtjkg6FoGUuPF\nZzUIBFtns1JVAzHwXG4R149t3uozADvLNYvp7wOE/OhDPkBU5IzfFqNZQetFr8XLba3On6FV\ns3j9PHEg8C5kilre5qJFF4adZUlOy4Z7lqLOskMLnCVdDruNrFy1+mA8GdyR0xv9nsVCHhu9\ntZU4/CxJQ+g46mdD9bZgAewOCQSb53k5rWOrNy7U0wgNp0UnrEDIMN5nSUYP9//Vft6t3o47\nW5JKR2Ta12jNOgzRNwfc1XwIbVKr889A2IWRXW9zidiUPraf2/keNM4pzxHtyGiCBR0zCAPP\n8aqLjrzeWGrpc5ulazQEvA+5Ev0773ZYQc6auxVAVYuvJQWho4asJjiOvd7GS6Yceb3Rffw8\nhFTpfHYFR65z2A+8okjledOqkcByXXTLMAw8q45hfFxs9QYH55OLxsJfSTTkCrEno1HxyFf3\nN88XpVGuDLqzCl5FniNqtXNdtphOuUCoztmv+PzI5+0jw1kyDtU56mQjgJEn8nD3IQiR5jPo\nOLZ5kzPFZ0gi0p3o5tjnbb0KQNg09WM/q1wQ1Tnsh9AzEJ1zSlr8ZBljge/ORcfnzc/htc9b\np2f2Z4hkKcxlWwDlM7RMwthqKCOrK74yr1Ub4rylo2aW7i16dm5c3m6O+Fcmb7g+G4a4PxxN\n/iXFg3S7Vak2HZrTGF8Nc62Xv3J5Kyvr7y02GH/P+1WB5Ucpdc8416cSx1vX/eE1RuUBC/PC\nyWE842Bt2U7X90oKHGogZl4kmrT/QaLN8YLg7lb4Tv9NmQzE0HPfsExXnb7//xBZ0ngOXru8\nXUnxPkNXcW/Jm7bTi45pLwWUraYXPAE050ja6L/N4drkbb/KjyvNGR2xdBK99ngrI/m9Kztg\nOi1a+nJ1cKVGuudFlOfsEj3vbY490zaNyFX/mZU3jdnVc9EL/5XJm80/DYA6QA5/ZBgWLZa8\nQcKc+7vr3Iy5J9+8g7qc8uyYr/zdGDfoIQLJOJV9wUmcd73TL8eIgaO42MeGa3u38jyubbqK\nzT25MbNW/XVXBEJlzm97u1KBUPCo3RWEC/KLVdJ7D8Sws+3UdFx6iTF8vBmZ9uJ9ZnO9sgih\nQHqoCuZ2RZ17J32Ix2E4ddkMMOzsK8vVlb0bo3IdItnVpMpi2yKOKy1me6kUdiha0v965OGe\nVidBC5BTVWlpIc4dboXR3yIy5C7eE6jbTJH14DMjIyQlSeSjMCBIhX/EE4olFu+YTiOgclle\n8zoS3OH2i1blf4RYtjj6n88iQdqfhcOV8p9uBP5x5i/utBwV4WWRot5M4p1iSOerAbxT9uL3\nzQ0ZvNHrwuQL20654ta3VRpslvvWvG3Il82h1bXB202nNSBLPchmyuuuHN7wC/pUA06R1i71\nnx9w5SLjeyhvXcid3hI63djqFfc5kIUZoTkK71e1ncTl1/ZuNAfXBgho61HJ06zln8JbX7PK\nsBAPWupx5e9G+Xk5GQhsdXsuMi7NZJ3AyrtYtVjeYQTt86qyxoiOPkPyj8jKu8yQvkqvK3s3\nJi9HPovKHJDddoW7qoqh8r3n4ynNAQnrJ2PbX3ylBsl1sgwsixIHd5slXc7RIDpTLyeFCTY5\nYb5qP2TLFsPSSVgP97iwiWuBYMlOe3kJZaRIZpYMQ2XOfka11/ZuEs1+hth8sZYIalBvWi26\nLXkb7cXbM4C69ncr/fX5uscs6W+Ror8be0N5RkkTgK/eHuDeHMMJm6smGG0+W4Nre7f2DIiv\n/N1Y6HnyUdTm9J8/IBgmFC6e50xuzol5Ap1Lr5g+emfNDC2/HAuVNBCFpCNtvW7s3fp7dG3v\nBpbzBpHD+PAB979FQROQ3j5ita6SsRHgCaGStLS3Y8jgjSbdpWYgekbPiGiuupKxVFyUERAa\npD4VPVz2sIHClMknGxq8ufnfyceTJt2vmPHa4G08yYdtuet+dCIQ1tnNl4m7Vy7jqyWwckMk\nfP7vNeRJYdWB+zqKso9fnM0NXbJsOt4DoEKHdddBsKLSyWY9ZMur3OUmgFS5GC0CEGlJp78q\nERZibB1GAeDUSus3ddcmhA20brPqQBR5RuABZNsgVef94bpBPD8I0zzQcQdjVS8BuZI9tTfO\ntZRFnNRAK72u/rOmSghdt8j016gqX0R2pkwjEulMa/aIHBvp9zcQ6xf39FETCOsX95VwnsCW\nLbHmwnAfQlyidrUPEEU6kJkyUCGyTJu9gXA0YN+9fNR2C2NxlUD+e7YkrdPDCgg/OReYmy9G\nKSl8aYouyB5vq1hPAqRyD4Vbln/X5uAzoSYQqnR69TmEyJX2QGE3EG56TA/sZgiEaaVSIAOR\nMC3HLAwQRp9zORsAZMGqgNWWD0FpyEgMDYSE6TTjC4AyneeYQ2RJXjPn/AxR6RTzMQI3+RN9\ndwn9kXbUKg1E3Rh7CEFCbA293xTqz2K8BSBh+lrVEdlqOzkyObtKGJ8FKhHsoRA8jiDThiqi\nKtjfERtkbzmiEzrnBxHZkieIagRAnU4p+Wur9Cm/DC3evjTFJjSs0klvEiJr/TEgBaJejC7X\n+v9+SED9N9n3/7AU+B/rv6H/+1X+P//P/0y8yNVp/+//978QL8sBx//Cu4z0g3msS7QoIl0k\nPBGBYtKFtBC3BZMu8/rgIc5FAigeyMO4rKJSXCFLjeC04phxoVSVy4IJFxpFcLaEbhndmeTj\nKI4pw+IPZp5/ppct2BY0EX8m6OZa5HUbYGvFtDw4VAveQ2IwTAuoXB6SzLPQZSwfo/bhsU8V\ny/LJd5dcQ1gW6nanAJrps3eg/z4ywmv+mxQL/BbU+vJxLOnedWU2x77N1x8igmX5x3v8SndS\nXPSKm4IxNSN6hRzj9ivoSbzjSE+xikQruu+hViaN2HxlnODz+FkPsfIYcp5HIkA1r8L6eq4w\nolU+GaNynX6sSuz2Q6ogCcCTWDgVHv4CbLXToOSKiIyIY79lQoWCqwewLKf59GI+RX7c/hue\nBPTQ6r4ysikzhfQmU1bz7H9cyvT5h0zKjGcxL8xMyuyOyEyk0DiXj7p5FJqu+QUgUei2TKbl\nOoXDimHuUuFQ8JxmDFIoI+kFUSj/ncOGD6EmUGhDpxDKDAqWej0wJlDIJk2/h4n70rypiUGh\ntmb4UuWQP6s3QhMoiClKAPInM63ZzZ70VCeEPGlUxn9C6DWMmawLE3eC05gSTmZO6kuRhTi5\nK1O92+0J4nUSA+ZNKMfNqNM+/e89qbGffoeqmdg/yVcmo6dhMWwYk7PEf4sv0Qxq+pt0ybSn\nk8iS/zaWmuLday98RGukB0yVsMKIrJCpEjARXgu0gPP5aFxizZSwmaPuurzt09aaAAsa3uNh\nE/xXZyOS5PvTJcocSRs5Y5ki8XrOv0mR7BQYmSGhOaMSBCFIVnwww49cewSaHelPWGlyJBbh\nBFS01OJrEGpkJCkuZqSVmqdBxAhOFlN/9vjdqojRpAiT6OSsxIlU5ld8FTxf1pkfUpb3T48l\nOkTcm7RCpkNYTJfLZJkSjtHc5kyHMMRjyv2RISA+fV3Uij0HzFAhaetkIkQOdtvAlgzLM5Is\niLuR6VLNgrwWESZBKGfX/RMF8g5rYUA44zTxxYDgt9euFwLkXmsORX+wI3HxGFgj6J7pD2U/\nbVpY9SC7/mkTb+ajyY/OAJ2CQx6b92Avhq0LU9meukUMA7iFu1nGbdYDdte6crMe137a4jw+\n9cAzIKem5EFJeLCr0/JfpjuUyzTbIYue64tiMzVscdUjUBA2w7SY6sDynC/GLPvZmdJbp0Yq\nqrV06GSv9mLXwOZBSxmWkBzz5vYdp9drKpTNcTChq2s/ya6rsicER63Zae1ffxKgiN1QNOLT\ni9gN9kNofsly61HfcnEb+GGXL2xb4+ODWJgNrKfFbyGxseNgHl7jJm1hVgOHRh3vRGp8fwR9\nV8623NCa/qbwa0YAIUIDRKMfHkW8NgT5jDjD4gsTnQHxplhGshky5On5++goL/GkmIzv2ZES\nIZNxrXcXjyEXWf20ZjHKyRNqEmNMmeARUUXs9rNRzWK06VNmFYfBb/teIcff2Jt81SRGtRZK\nLyKJsZN7qeQwbCZ8DEjrlR2pisL45HHAx6qGxGhxo6rmMNgQq2YgcRjHHBMQHjSbVZWGjvKN\nSjnUcBgrfEA1h7FjS1bNYTB5Pv3tFX/0xzrVcBjDBl41FEaLlXENhaHODl+gI3ZTbXlqKIyT\n7beGwqjpVVPDYcg0PQMxef4qzms4DOgM3kDkMGZV4qSKwqAmQf1kqjkMNtp8wxybMPT33Wlu\nMaKDqqYwKMlQ14caDgO/t3/DZhOmYnVBNYXRTAIIUXvuLtGaBlI8N11LWsVh8NSnTFs1hUHr\ncc8hURhqGfYGwldyYy+9RjFdxPjVFAbG0XJcTWHQ042f/tWQGAgWZ15EEmMNF6FUcxgnXXur\nOYz26nyrOIzPjW+OIabPZ+pLqzkMtq3xcxgOo/wZqCu/Eq1LNYvBtiBnGWGEV5OgqyExsJf1\nYWRKLr3eHBKLMWosDKtJDOXkDYDl39tBfX0chk0/DG1VWfZ30ers2W2kVx+PYeuHGhrjSED9\nCSKP0eI8SMTpXu2vQNQs7frkDYRtuqt0VB4Id5gb+8nbWGw04qNdXZHBkte6gqjmgwe9jwjD\nvl7+fLyapUVAVYtmhYzDMzKd6mE30FoGYrnRXW+hHFZ9pZ9shaoCuYBX6EWE4Z89Sj9C0n2N\n97PKqx5LbiaDvOorNzkDiA4r+hk0r+VTQeCMJ2alc0UX9+17Np1H/80X+WW3N185EL3q93i/\n/ZT9b4/ikMjfTg8A5McUMy8iDKiLox8g9GMqOUbWYqf6W99Sviz6ihCqmif6aGd4pyFGhOu+\nH3q53OiajQfS1bpEETAAHKVoP6t4jtCar/mlEFYblfF2m6Ww8Dftl+NCVeV/ghgYwszv5mtQ\n89XSnrC6ewTLCVteo2IjsT0eSNn04XAQHTLlAhwnXCJ0AR6mA6pshhmFSgsORKKv5tIdIkc/\nqiYMEDZLqylrrRT6qa0lZzT7c6ZZtxhBduyk5Gs7ww2E1GPZb7uRVX1zQwEPJBfg9R6y/VyA\nS81Ah03orhUlQK73UWVeORD2bLRY9u9ss/p7fVQEIlOmtLUlgm30XNO2QFoXpyJDNCL/7QCj\nxjILCAtkUT6+M/Jwd+zjmUgPg0+E/QzEfHobb/VQLR27V2ZkZtOxPHkJ1uGQFam5HToVwXou\n915m9eqqm8/CU9JLsUSCyDlq9poV97pdd/nHr7nKp8/06yUi86vMepVd4Ezaqs8r2rx5wCw9\nyNp2tgrCbPrvt7iKJUF2Ts9xe9W3uNcDATHJLiYnl0xq8rS3uF5xk1uuRR6Inkw6xhvYIjjX\n+6aqkG2OU2stMqDQMaQW1Rs1O3UQYSb9pvqcCJIAK+J5IHjJrNn0a3EqfSj6NrRF4EvwD4Sq\nrx7hHBCpvorrXIms5eRKzUDKpqc6hAh30JMNo9qt/hQn8YAc/Xyu5CZy/jYFAXKtmxbLUVGU\nglw6bON0AytzRaqOZn671pjVxx+SyJXNtU5FVbYidb6Tba1iLOd8oQego4oMHzerCntYQ6Jt\nD2efqioFpeCJgLUEM7LeQBR+zYgGgYi4jNEFkaWIygcuOgseKTi5P3AgGV3ELxaIymNXHpTK\nxNiPZSeAOz1Lzuy12QYYaoezDTHyXO9gwkVXNaw3AKtjS3xSidwjDy/pymqVYz1N6N+LYgMs\nHRyRI2WMVnEgsgFe/c+LtGGllpzIliWzN6xKsVaTeYYBbCa1t4gvCC1ZrouarbW75mhl8aUK\nTb6I/RhgbazNfj5B5DTtAmgEnKabJgkhqTm6c+BAGIjC9/PuDMR2abSVyIvYL+2kVonIFcOT\nJ0qu9eX1VASisqP4MBA5civ6jaw49PwZB/sV6MP3N03rT3k30a714y21cDbinIpQiMjy6qej\nQkXzUw/keTcUhr7IsNq1nv188iaaMqEYY+SjaAQ8k84BQlemNv68a7lCRqw/kf92z4EdO8OQ\n67xSP3+G0uvl5l2kO+fNdlGH+c5idonIGc81gwPpYilG1bumN6u0MCSCmK8s1/kAYc1R8yr+\nASHriYSQDpZV2yi9gT3BlTFms3r/FFMx6EjTWw5E6nPuf95nqezohMZg09y/dESdCkHbb12f\nCvuhPfDxq07bXcy3jtqwHoauJwNheaiP5KvVpvXVdsiClEgf1ocRcRG0J8uyE/C1OAIIC2TB\n7Dm8tNNENckshFRoGlwCmH9PUXW57mipwZ8gZdGri9iIsDFBfcvYsivTi8GqHOuvzs+fETQb\nnakgAsJmaf3YDqRWtfRc8XYkwJZe7ur8ESIt2tOajMiVU5sS4UCk/VrOYlf2g5SlrDmEqppq\nWs57cxCL2kvMC4Bwu2Kz4QBbiTptMkD+Wys+dR8YeRHoUTjJ6tRbZcZWn7ATCMLP9X4HtTX5\nFXdV042QDW7fUhnWc3Yrtqkqw6aVsoILnqt1JHHmGZA6dSeFS2Tp5CWKEwh1X2n8TgA06ZC1\n4CeIFUf3vvMP9t7/sS7Up5ajiqMdrUutaklI/21v7varr5FLEaGKp72nX7WHuOSsYUd86Y56\njAOpS1qxF2DCDCyYOcZdxZ44GCn2rDasf00RPkDUfbXtRCIRbJ2xwATQ1cMvj/9V6LliyEBk\nTc2DXfMuVseOeAETQb1R6X/eRsa0x3SJulms5Sz7XLloxJ6oTTy5QJYb1RbKslJbhS+ah1Qh\nuXv8ciY0e9Zj39VTAeQe01YG6vpTxAWgWTa99dwAQbGuixj1GhbHrhR7A2Gt0Sq5pUC2nG01\n41nJcb8/rRwBqUl3+rsSQbVufwxIowtXnVGgEbjww6TNVz6LdCmOJW8c0qX9WrJC5DjM0jev\njDo7SQWdhZos62l3qn2y2bK+n/AdrbraqGU1cr9a6mBVngVIXsAn+4C9lVmMpd0ViPvPOIhq\nemApPZcoAhDLjUoaNhPZaqUiFQQQ9em+zjUAodGFqjozEANPmCiUvO12W+TkEkmXViu10HpR\nMpga+2ZAKjaKfyoRi259O5R1Y2dpTxd71rf4T36EbFqvVDQQKr5GVHtEULJrY0whMwcS9f0A\npMCzW9FBhJXHPfRpayqSjT8Pe0rS0LAkbALCHCI4+Pci1Rs115vW1t0fWBfcXXB0nD8GAqa0\n4uCjTEOzY/09OTPAGwKtXq5bGwIgUXrj7VCts2WznKEzMVqWDEkBc9slhlUTghnEDRjeR7Hc\nqLmNy0fkTjNh+SyVG8VzDQhWdChEFE43+dVj5vqU02hX/1HD7VXEdvVzWMVcXc5Iz54TRNVG\nj74Ccq8YE5FDgBh31v6+qMqVQKt7oWvyq8d65P0NZcP/bZ1fL7Fpqk1OYdSCvIEYd+7Iw4Go\nSdryZt+GLJlkkPYFsoNxrpkVR7zAvImCme30MgAKZs78x1N7ygiYZos1yFl/o/1mx/oVI24g\nrDdqLUwMkM2qqpkYC5KKbk7F01b9XXqNmwAQ6mYgKVl5F8s5WB+pk0VjYT9F5/ks+TG9raxN\nBZznvidNDVRUR+WFD8s02fLMHpnWs/vvyMiyYyrJGznQxC9TRfE3Le0In/IML5cbvcMIInqW\nG7W36Nu1frV4p7EtLztip+N8bbKtxxz2TFkiSCGya0Fox9TOYyjoz3b+py4g3S9aMtqTTBQA\n+VEkGFauWfzoeT/OshFwqe8XXDICbvUtLMpZ4MubWaAw0R6Q/k238tuoaDEV1WRb317X7Mrz\njVKYYgjalqzGnTaFyAh4xXIEEOuN7rDRH5EjW+ZsuLKtBz3T/asqx/YhD/17mzyZStLOcEij\nJdNbN7YUNm3884ZhyEnLfG/KMq1nLxSvw/IEYWmL7ob08uz37cfpKOTcr2MVIYpH04ENCGPO\nPd8aKtN6Wnrk76Wsyc1p6Ehqc3zUx99XCozaMizizTpeFIYVuG6eqcyENG4an3TrPS8iPfqc\np9gODPsmglFxV03+0T5qGJERMMw889VVbPTSOO262Ki9SSe3H1UAryAgnbmmKzZDdy05GmaG\nX+7xEO1J+EgEW+u8SUDYOooF7o4nm2zr2e2v5UVUcvaXtGlXFGk91rETcWGM+ysCYtBZQ87A\neqnaSmHmmqPnvPnucq63/OO/NaHL54D+rgrJO0kHqnf15PSikPOW8H9d9TksAtzaTZF/nLI4\n8QGhyymPTdG0tHXZGNG5ST8h+2VohjcvLl0rYRvRphHZYu5Ulljdgxy7sM/BXcb1LZVnGkiy\nnJfJQMzcDk86XreA/Hdfz8gq3uWbWuXfBqDq2WM1gA4pvVriGRMdICw36mldDITlRuut0CxS\nh9duGt0BSXfu38h0urBPjhCGnSVVF9XW/F+zatjQUQ9Ux4K0jNbD7G0FqwEDzwj8iEhTkqLV\namk1JoPlEF3ertzX3/egUucXCKPXIb/arNY1APGZzVOouVHay0LwVqlCy1R0j3U9zSk/Q6RI\nGQgZoCNwO+oHQAD750gjHSA0BD7q/8c53lRtBE575tOXImwT+u5wK7PWAEfZIYmrgBwKn0aq\nGgDBlgkt5zIsJla10u9f5rMRclXl27r6RLOtiI4I3Yb1oGF0VuzyS+NXVBgP5FwLCQ1IoFMZ\nnX6CqNDBfBNL3mVYf9JuBQCpUaSvTxA1SWsiwD5BS1yyN2DEEvIAM5vbZTnjWKHLqx7aU6/4\nnVb1n6zESy74uiVCng8d59mD2q8Zbsm9k/Zg2Es5drMTQu1SO7Pcy8/nMDFa3k9ps/qT3n6V\nh+z1MazIzRjukbaS+ezDjkw73CSbvqrMsuRNS0751zFyl1s9jaV33kRDpjaTP+nDBUax66WK\nXfXt9iAictsfeTfIMm5T/b7vZbv68nI1fVqbI5PITxDWP/BmreVFjDfriQgMCHtyz9AnXd0u\nWUSttoGAtCV6/+syrGcLjVwgiFGIompeIRfg2A8AQRhJp5URhAUYPU1CiWztAD7NdZ3r8ABk\nR1qK3Clw9k+xxIzWJ13qS8ocEskryNVJ2mfAblF+W791yIb1JSGfK1bpvSZWuKvwpTkrKgQ/\n7se2Nidvm7amawGWd00VBBO51/4/+XB2SIOV1RVLhcoc75q754sx5PyzAcmaUU3Vdc80sSnY\n6F5Z7FePGFsMapdhPbffh5AcZf+8E2SpFXstNwPhP9nOVYoRIAzkl+tEgLAqdrgGtXZ51ne7\nnX5CTnN8uf0a6nLWDOHVt3U56+0/WyUa07vWB4Q+wHckBd631aT3/fLKrSBH5hM5q1F0UlUL\ny0+8++JcMN3eNZmQ1bVaBWeyqgRlViDZ1tNvfs4MxI7HI2QaXMGLqoQcYwJZKrm3pqQrc6tu\nvjXIlReVecQu23qaJvhpUdk6jpiWlnXb1kOzkA+njIcV9zUQw87zW9SPmqWdGp1FV4KxP19Z\nIkheVFfaCareNsWYgGVjv5dtlsx9Vqj91XG/q14Ai1RVMxNAiDrvE126yo+ZGJ/55FoPXbIJ\nMPRQwElkqhTnM7REq1jP2cWFgZHLGnllc4ELK0FOEovlZiDpSdufz8eUKi/rM1RCp24n+Eut\nuUfWRyCoeujPRwUQCnLYSGMHQIB3YgPI/oVe5Z0ZtbkDm9apoojQUZt0hTCjOOBMvS6QxQLv\nnnk67Fm/9mNvhkzr2UldzwlqhYqcOr2QAFn97049lDygm+GaGYh90ubTQg+71rPozQCpUR87\njcgCmHmiTwkiaHJotH/9GrZJqyl/ILLUEVmV60CGu6QumcYSutLYeR4MeXIjFnKOZ8j4GMux\nz/5DVqPNXec8UFyAzTsNxcfkpVcGOk4r+uQyZFvfuxrecKAmcsa/eyN1woZHnhpNISdkk5pw\nQ8QNksAmeaRl+Nx3Mi9i5SBM8DMy2dHxFtWhomVSqjfjIOL8Gg288vGU5YigEqDN6ibEG/Ks\n76+BHytRpyjD4hiU2j9SvKbFAHDzHMmxYEcYcidwvIs6p3LepPsMIcLr11TI6C4i7PYSInJF\nm5tCRZywmm0juRCP7s7cMT8hcv54uACghHS39wvbsB5+xe+jaFjPz3zXg0OpOkAaYLyJdqNa\nLiXDVD1ZzxfFTkXBiw/3w471LwM9ZFjfXt1VJTHgKVgDHHWMuSrIAVR5U0/mwbAgp+RoMWRX\n3uzRLATsKIUfXQuoDbpxm50sGbI5xkpoEgHlgub6fdICgg6jkLPvkYFCkJpmsdzij7RnDHdK\na+8JZEKPR93lJ3mowHC/4BKIXYB9HBvyq2+syHgIKzFOOr4AoiZnnDfnp1ul1dBOQNiYu2W7\nh9/oUMKN5yENRE2Ozzx6ER2Z6k34P+RY/+cMC+SqACg6MxxhtIz6BEDFjCU5fnZnOnMn9Bu2\nrIcW7ErVNexZjzjpffx1iYuVKUjGU5TT3m1cijwhR946SEnkoJ4vXtpIeqBcyPTMiGn9CBs8\nbFo/8td/i8NHZdweGcN20K53GcrSsNOXn7ilsLM/RddQBY86g3vbkWE96K2s6UuSnLWSzR7L\nfdJ2DihjUZLz35fbf96GxYCbls6LQ4b18o04RliHiPN4yWuwR34kdW9eREMmbKPbAENPtmtr\nQZYiu6wKNKynI4U62RC5EuNbujdkWN/9biHU5DynUCLq3WiV/dAhvt6X9x1KfjWKtgL8F+ft\nJ5gYdquvjyQAcpfqiq0JHiqX5jLfDKg193nb9LEeJyzMkF/9Gor8hbBL2rp/xqUZE7oj3iBk\nR/0gCFEBxPRcPww6GZOVfDT96seToQ5VVtX52zhF8ZNB+Q1ELyYb/+tFjDtZSmSA9SDIRnkJ\nu6oH2TcBApCtfuw+tA9pGaGLr+81kuPYnAlAnJh8+y5DzsHk6RcE2+asb3GwW/1a7zmyWz2W\ngpLXiBdtakkriLWKKOF6b2PQ2SMqRi6TnefeIX7YrX6rTOwzxAivvnOp3erHO9DRlE0pBK96\nUw0Dmf6WjRggKnJGWrBWt5iCE5Kn06RdPRsOaEGbxT3SnvsXoasGxz5YTLkJYT23egv0npqv\n6PezrRVVDjUIH8Pmui9B5EX7k7LO4j5p064tQCjIaTGnIMJ6/BvHPZnAy8/Jz/W0Xf1o75pp\nV89m0ysvwTT+IHbz+RKH6qq2iXoo2CluO9VooMvmwtzutFk9EjTKMswqD6bxyg5nvOrnP+9z\nSIqO1OgCWcwqjic/BaNbVS3i6T1V2c6S2puB2Cat9Zy6Zo0FE39Qqfsox5kn4Ry01O6T5uk8\nm/ukxcW38nAlyawsu4CwfrE8bmjarB6qNYmsp44utHKaQajHaeOVXcz2PJgye5oKQfbI4jjF\nwtOn1l+suXzRXr8aaEtJ8rsg1i+CnOtBGHAiw7bz5Wn+iz4cI5eI+SQffALSNuPcoTV2/rzq\nLSoCsh0/KcixxURn4kcrApXd6iK1/eFdMecab6LKsB6++G9k6kaL7CM/ImJHnxgI7h1MKrpr\nc7WdB5QIme46aTLmm/4Bu0sXWypFpu3qy1OXT9nVryQ0p6ojIRJrilLhP4HKRaaEfJOHu6Tt\ntxqxhSGNPBXATLnVS07VjGBf+Vg36a8+pMWBxmxlZJKj8CIU9Qnkinx8b2IJiJLLnyHqRtsj\nuKf96qHg0UFEnYnYh/1mHDVJ00d9hvAibMvvRZTisL+nrsd+9fOV50771Vtu+AmiYX2zt0e1\nKwOe5JE3sW4R4erJSyTHibkt+47Iq6blSDindaOv1HTarh5V9n7ap+Q4K/smliF4P9Nj/10z\n9Th3u2cSe5xMteWSaQCFb01FpHmUpqa6ZDPHkPx/lxvq4mwg/9+aU+HUOZgKMD/tpGk+bSj+\nHsv0aPbOKTWBKs7zErrVn53UG9t0wubVEh9BDDpL2soAwW6zr4/1BLY4BNkO8TzjGC9CuinK\nAWudc2ZANsVcudHyqET+cuezERHC49325ICuq0idU5zyqmfFi7+FvOq5LY4g7JE23bf9Uxlo\nldLAheJAHHWan0RdnWv/MzdtVg87olyR3Orx0+c33KZHz9vktuoW41wFgDFnWa9kFIFAVScV\nR/e0D9+Spd58D4pHsVnefBbp0XZf6cyUbKX+ipXnSd1i/mLN4syzc6TIGcVW0UAabSF3zGsJ\nnex5QWgAjLL+a2DIcCpP13kVi9s6unleuOnoYMYt7en+pu3SZsmJcorFZamsz2ZH1CjlAblm\nhpsIqGdGRrRJkYKXDYWrmGGp8pxyTaurvedUtmkYOmuUbHawZmaK8YBDeX4OeVfhJkRe1S9B\ntFlZEZc3RTnqBOCMc9r5nRLknabm88cvwimjjzQPJrJV32vuCjpKVv5XMyYcSD3SulubEVkq\nQXagOu2g1mNnSwS75zom9z42zobxTX2x6yrW5LgrEYHtpux5BenRGXuqShM6bHsjhieElroJ\nWs2yijpzp3ERAXTmPi/ntpQH/yh9NEBydMWRisjRzXBebNlMbbbEyCCbijrLuq00oV0DGbkU\nj68E20vGXpZGLjuq3ZqFZtlSjUVYmruAaCRkY3gATUlWLzO2KcL0MpO9JI/oSnV8htQi7ean\nWvapny1r9aquWDx/rodqHHqezgykmPNp1FdVzHnXn2s+WohrPkr1is1NZIFcr/A+0S05biB9\n4dVqNXXlfvluyvm6FY0zCJKHzKLouVm2qV8zs3QpBmHPjpPPUoe0FraHfpdXW6l3QJt09df4\nicgWwZP5FZ+1Hs+VxSnyUWzS39tk/vuYpNUsxnnSbRubQnb53nSlZO3vw/pjR3XqXPZbu/ER\nAkJyFFzkDEJ29LIh3hdIxUpO+KDhXG/2RTpBrrd2rWrLnmuOgT5BrFfcaS9O5L+dkySJf41u\nMc6I9NClAr3qvO6Bwo56f1s0XyM7lL/FjT4lJJA1/1TyfqybbDoGy/SPiNo1aAVjKX77JWKI\nkBldr8x40YBNTWS17i47sNWX8FpDUpyenmRElnIlLW+iZw7bXukIs+zC9lP6LdqwdQpCApAX\n3TdR8pJsOsgniLWKJy0m2Vy3csP7DSxa9CTbtuxUfyQrwpaz5uNFHQcuWTv2X+ZqTQWdM86b\nRBB0LhcZaCBFnTNb1ZIrGzdcr3yyZesxdALADmm1mx35Kn8E9QOxugvIksuVtQaLhpcMLXb+\nvqp1tSpn0ZvtY2m4GqoAou1vT3s4IuyCOfMja0rwYOHJo835o0jW12yLtrHfRLVT/Z/NzR5t\nP65qyYL1o57F006GQ1yS9kOOzggmQ9aSYw4qfXzrZfDzcUnsGXupA0DJ9dD0F9mR91GIOrHZ\nv09CdKd8qVeExajTmQwDV97bmQj2qV8pDF/b1KilEZ+go8DCiQdYDgylIpxkQRU7Q/kns1ty\nqlcfqpaByI6utF8GIo1hfuQtSQ7UkDvIaur3kT2aWQLVZa130Wy7vaJmWTaqh2/HewnJ0Vkc\n4C5F1ezbuHQKRRPUMtxwYAThoxyHxbqOa0B2xCxLJm6ojRgmP5dd3Ho0u0subqtbqkEAPdLO\nb6OUoggKFD7+HyHVgMQNmwhjvOd94srmJobBAEr93276AdreO7PnHO5ZjFJUq7GOq0DMVAO4\nLvX3b3MtG209665M6skGPaTagciXd90erbv3CBELFXP6R3lfE6mSpy2mbmmKA4TcaO/vhl21\nRxO5+BmxUanZ0SXPqc6W8dcIA871Wx3j7aYGcB4IqwX0dlYrL9m79edoCeQulT3yliImamrz\nKlbjI+QqEB934YzPlpIxcAUi0Wg6TBOhHKc64uNAXb3IHGSBrafqcieGAbL0nDjOMWtL9d/I\nayZqSOl70vNh1OMgCyMuZitfhV3bXKOdzPgbnrzmv4Dzk8HnDkSnHFbj7yAM8/ob+mdS78eA\nvsZ4lstJKm2zURkjV82FXZ9Rjtk0IN48ffLa8nf7ePQrGRoMKesVbgbCqoyCrpuXkB/9FdJu\nhbEM5O2pstWmjRe9M476cqf5OxGstHAS6RmaBOldaoAgSAzpk/boANN+NCESVMit9RijsdEo\n9s5enx5y2+BtvcBv26Oe3hMziEsWj+dHk1NO1432QLLKKWG5tvYkbHuuH9v2qD/rz2uWKy9w\n2PZAse12agU/Q3e1k9YXlFMWdUl3qhzIUltUHokFYQHQaWD4RSRKRxoVgWAubqBzApAmHfZI\n+QRJzPN7k1qkjazsW2lslKo4lbjtUu+SEj53Nngrj07YNnibb2XYOpP3/ZKfu6s5d88RnwPF\nx9thyKbDG3sier7a4S09LwhgV7PUTciVc+yrdrKtp4vFtyyXoKt0CgfUP7ZPsGozACOSRmme\nEJl593dtw5qcGekFkK0nxVngrU6wTdn3DJTI00ILEenVnqUCJMpJ4nAP90drj4Lb43VIK3nT\nEdNppeyWmAAfdN8Va7N6vm6bvm502c2fLrhw1LmVzGDebOQt0uOMbDroYIpk7WYV1WdIgpyn\nPNoydQPDlIdfpm5o3uIIasvUrWoRyUCiR/tbZ6f7cj95LVoLFDbhzTF909Qtq/wnhOLRHcvQ\n6p+tl1e3jroy/BAnLWfIXYho5D70CTlaVsxVm35m/OHlWqZuPFGKd9kydcM9i50DWDTb5LhQ\nzO236W3Zg8jqO03B1MTPssu9MxBXrJlM+ZatG50GVr6G7L77W+fUcInNu4dUsXC/VqrMp869\n3Jl7x8Voy9St/ywotk3dXsNLItw9TwmVsWUJDqLOXAIuv6pTTL7qliRnP3e6Tccn9+56b3O3\nQZM/265uY/3zPp01i3YKMnLVf+y69EIlqsgOZylSSTT7e+28izWLM62XgJAh7etZxWyZutVf\n7fhWPF5tlw7kSJDDkuVthC45S3YwnyEGemkeDoSCnKfK2zJ1kzw7L5EgZ+tNH6HhKvSs6Ic+\nOav5oLll6QZax1qoLUs3HlYU+u0jS3Aa1ZwMoxZpLaaETntSsNkzNDU5q0e0CGFdY5lnT63h\nlhNAe1KarSqHP3K6fS3JKe/HkLz707PSDalHWlpTAEHkyb3cn2VTN1Q56Wy+aerGflqO/bbU\npZRn+9trxfojcbcKBM9cfyOzdbk0Ep8QcKTcqG6uUD3SdvQq+z6f8GxL97VIw3bpgRh7gvDU\n8QdFKGzZmu6KQFgP0p8z65GzW7eY4BPUpoVNeQ3LFnsOzES2m8rmJbTJaUlvojhZiQznG45t\n3WZPxfb5ubrNB3ChHzlRHvUd/vrPHeHoxCU7thsEked6VhVHpkPsvaM7eJRu+ijZ9Devqllc\nWRKOeGtulWKnjpocUxIqahrlU1MZ4uLt/djX7Y5wLac+BekPYc0ilEPv06d65sQAnNAef8/z\ncMXv6qZlFvBU+4g/u4EjWzex2G8ginPmY9SPbN1QaendGYWrUzufH2dWfS2eBKeNcI56GCN5\naN3NaSJKe0tB2LGvG/ioGWBrNd8Ks4/oB0qhel7DHmnjZG921TMDDfEbR7ZupOvUI5LQkUDd\nO99p5kmjrgCyqyt4egCHScrssMSa4pyf9dtRhM3ab51vjm3dynZB/5GrG6VT/qaIRFVr5p3n\nSP1LkwstAUeN3ZlY1voHxNock72Hrm6ffmcpQo5t3ez0Y2RJCORKwtPdIy1s79HE+bB/7/dh\nDD+3g+hjTzfkcfMC8qSo/jz5nqRJ+37eJ4fyQIVx+Z4MPcfvARsKPZFa81ozZC1eZX/8CVLl\nYix8z1DhInJAPeOA1qTE4yHyyrHL20cfnepy+pPXUJozXi3cUfE2ltX3USFJW16xWH1R03UH\nEL4VHeFvABqLvyrQM2ws/hehfhRrn83PLCZnPwWxWvafQ4pN+yK6AbF0sSQHAWRL43fUowMQ\n4s5YnBi5shZ0AGtrVLIQAaTMUeb4M0Rf8ZvDxZkKO0vaHlRzBm09rzoH5KDZgXgg0qTgijOO\nBKTHlNWxpdtrHwXkqhtjFqPpdlGvNXA9y7Ug7T0AdnTb7yxoa19Qz2YFDgu3P3XH8GSR6hOn\nSku/gWDvxEni5m0MOtt5Sx9OZutjlY0NRo5s3ZiHaHkb1TnnvAfQrm6OLIWo6XZcQI6kBxTC\nvmEozgEfVfJRJErLMyM/krN0yq3FeB6V1uNXtSXhUasEl5YGuSqSyhq6FXrelaYJ1H00/8x5\nDYWkuyQpc/ZPnRNglvNz7vsEyTzeia6j7AwPjD3vklnOe9pl6sYdZuY7nIaVr5+/0NliOm8Q\nxp5wSvSCeeSWA3tOL0hHUTKkJvlex60vnivpsa8bq+AzUEoXne85R9ZRWCFdfHLO6yxl2dHR\naRJLpDPHh8ZumFI+ix4ZuzFfbr+qY2e3GvMOFMlh6zzlrVrks+kz4WOUTqBVOasvEBu3DmeJ\nzzFRasOxeuTqRgMAhV9Hrm5Yi1NbeVSbAU2L5Z7oQVfVrsISiCMNBXurzgzU5bud5NORr1tz\nRaVeQ2XOeHk/xPI4E4iSDnL/qKSQXke6D8eILD9XPOkvu3qu6xb7+43t6oZkv3S356rQmrot\nb8pXfjn9dX64xX45aSRN5LosegSpjBxaFGG3uHCxhdG6NnaDi6qkrlf5EKzGPkOi5YCt/pt4\nylvceOqdPK/KUs5Lxl/5ulFPPDIMWVJo+K3OQ6K1qReZiQkg2DzPI1jgv0HzvhLS4cbYTb+p\nB0In8Pv8Yq9ie0iVvEBf3eD+Msu3WpuTNkwf5WKdj6l6UBG4W4lzHaqubd1W+zMwOdIR86db\n4yb+3N6vFFXUo9dcoGoXd06UQHZT38YdhA3o6PipAPra1m2c0I3Xrm7zCaNhw48U4xpJpt4q\n0X13YPYvf3DGnuNZMl77uo1rJfmVrRtcLPT4u5kSG6F1HdSxUBc9Kee9iJHnflolGC2oys45\nxmtXtyorkE8QtaQ3nXk5I5s4s8xnKZKZND95DdU51nd4IMpzWots9jb7ie8EHNe2bnMkkKOz\nQw1fe7v9xM/KKfSqGJmxVn3IUf2184eX8UP/leJbJv9xfvs72Nitn+Trbnfp4ss/QcKBvbOk\neRwRhLbs7p5PZ+R5WyL1a2O38oS218Zu9ZlEXBm7FVpqfUGOGHan610FSlcEbTEwNCk6Tttd\n4VK+xZKp4QfQzm7nCd2unN3AoOV2yNgNasEfIn2OOmR6IEaeCIW1512J1cnI5HpYu1hLnmTZ\nuuHx1+z+AMnX7URrenUGZO+emrdt61pdoMqKL1lj6oDEgVi7+HqzAaGQtNykUi5z8GRGPBOm\nidIdZ647ZSdO/mUFolnOSIEzADkeuJT6ytkNld7eP66d3bZP/oLoJm4nNiEMO0vaGBPh5vla\nDqD1nY1S7KVy7e1W99sJ7O02n08ae0CzZsXBq60pWlX3k3+t5V+2WvbtWQo79/MOd/kWn1vR\nJFfeblQmbw9kc7fX+ZkIsozzVefe9UoXs0Aud+bWecEDqSykvTtkd7few/femLvt2HhcmbuN\n4wTix9pnE5OOOO5y6eIzkUQfGd7XntLka3O3GT8ODnR9Y50vvHZ3m88MEHsH0rd9vq1xq3Jx\ndFPCHyBqdE5KGK7d3UBVZRgSpfvlxO27xHKck9fQ4afVdzdk7an7c42wehHhsqK2q0MNxBE+\nHd4tarHZ/scQgr1bcsi+cnfDESQ/vRKA7Fw482GXG2hPy6grUQtr+HzH5O6G446P1Ffmbr28\nusgrc7ePAfzNQGRKUUuccRB8Shidl7CpFWq/vBUdFy/e10bj2uANolL/LXu3Gs0sPUHlXNr9\nN0sX27OsvEd24rJie9DSOcHFN1dyWpzvc2Szudst74h0ReWhrZKDz6shaZrkM8BV8Dmfpf/V\nPCYvM4J0ZMR4QvdjcK3RGW/3lL1bK8+HGDpu5YBa3kNDccbv3mdUkM3dwKdKm7uVHWHftbfb\negHitblbY3VBBkLIy+zqG4jBZ03BGauiCvL66YFGZMkQb4j9BoQvVN8XI3Kn+cAgzXlGxQFA\nuoJhJ6SJHB0apbwAghMLO8/kerC9sVERr5kIiNLm9OSnxmJdPYv0hBGBTOc5LHJFXzYUu0Fi\nnGMzK0LgoEuOKmpT1dUEVrejiiid8fUjskW4anZ8dAEZlkfzIMD+7SxiTFMaIoqKtCGwBLOr\nM7CUcyrKnApnbjdCnQ67OhtgCWNs2wi4hlELJBC55lzVXguinHSEqSSy3UTvfS1auz1nTSJX\n9Ld3UECMPmFUMjRQk1BH/VcMXPkvtW6guuySj6WqKynTqePdDPVkYuPtG6RLJqe9kQ8R5a3H\nMdpHaCmped+LSJOO++aPCsl6SWUhEJUxLhP9nzo+X5m5jeEXMfykJ3UQnHQo913VCBmY/p4m\nOhd8aqjZ9Bot8KAhtF0RudJTbN8hNgdme5uTN9G3rdF6NggSjek6SIQebytF8kDIlM71LrDL\nVbySDf8MqYqxvKkgHRSbSY5cIfYrlm342ZHHW9MD9xlhz+H2nkHRKuRJZt7F6POmdpyI+v2a\nmWCvNCTb5n6P4LCt+HhXqHo8Sqc8OWTzRuHvfQOxCSOsAGcGYvx5knHnIQr7Zxv+5RUOHdaf\ndlmzsEfVrJ4w+TR1Ybz/zPy9RbBkjg8pdOoxWQGENQ9UOo28TQ0whqkAIAinqqsWmu1p2ULZ\nM0oFDBjFjEKzszTVxv7hIWjgU6DMhIjepvT2XEZIlfadFjSE4PJ2joUNQOicM38Pz+TRI8lo\nIdNkDg6NHojFISfcG5GjTmsiOYFskYyKfdmqqCpP3mTJQQj7pxiKf59QiJ6LuqlLjMPW5cri\njTdiNyMV0dpPT9rc3ptykJK3gSbtKykZKV2XTvEjA7ErAHfwlRcx+GSTT1+NBKVoi7Pzmqma\n4SxH8nj72v7NgqXgs8UACwiDT8zBm4tOycL7+0jE2PIcx+JteDXE6YC9F2/6XhPZDkKqAbWy\nUveRz9CVa653YBm84Tmavhr7u5Xp6ILIlcF6k00sILKkJ83SqAexF5EOh0S2itkk+6TKf9S3\nW3sguoqrFsMvwtZQh2kKAHJ4u9Z9Erni2d1ui4clyqX2e4zZja7vNGEhgAxjb++abfD27AfZ\nSqDiOa7J5hLaareuhA8Q1jCiltG3XsWDzXIwIbTHwubeaz6fTClKoMpDJCdZx3+zhHFPk8Yq\nk5yqZlNPKkJbkr098ulHJ53fJVNPusOTEKEvqgx1OBVECTb219GHXVcxFqcvWKGKvbM2B0lA\nEHsyATDfQCxj7PEjB9LTiCkjDznr3JGByZOeMNQfIJYxlrQ1JHLV0EXUCRA6vP0fhEQpaA1x\nlYT+2zzveIfVS6L0NAdfbNAJiU4JLaKWnducAZHKJNdHZYSyXWwnUuRrooQPEcYyTiQDADu/\n00+cwFX93X8ry2cImw9oNU8otM4joTiyjlV7vKHvzc6HS6NT1aFcEPsu0oI8AIjSnTo0INtr\nvB/vql2VoiTPhCqTt64DqV9EorSlrppIDFK1HleZ5TbFpBqoqojRHvFGqG69WeyqXN5YZRqA\nJm9F9hj/6uHDgYGJMd9G5C0YtziUoDhGnopS27KR8Jw/nwAAq7IXUXXaitBRsa9SiK3K4o0F\n1z2ILN6ahWBENrrV13e0qFLHYv3zA28DDGh0i+99bN66lflAXMpYLfRuNuhnddcK0qZKGrQr\nV+ljKMNsAbZIGrOVbPM36k/HS4SC0kfZE1m2rirTCJ7Yzv5iIwNRp4Nczc31sJQRB+KZoY8l\nrl7aqn3eNn/DDES2dCyrs7CAki0d490hSowoay4BEnpiDfgMXS8LJy8iW/pbft3Ch7ZYCr9q\nt7X4YMDtgciWjmOyi2W8uLHjOF4nsocIUB2SqpzeOIHbyEBqv9gc1hNBAhcTZeZtWCLSOcoI\nTiZuyOiBGH3ONJrHj8Xwsx/L7ogg4HumUkAg0xFxejSQ7d6wWniiD3noVFcdcBrY2NZLHhCe\nTCTB5XNnt7eVJCrr+7Cg1VSFqOJvqYPNyWdRp2POzwMxAp0xIiCy5X6ZCUq3N9or1FwiKdMW\nZR5tcCTUSUsv+n817fPFT+dUQePvTssLCjPGsRzmN+gpsGRKRRM6OvarKExHIj3Sc+WzyJje\n8XYAbg8yhfApp077iy9rBYlgGwXJU/NhS25TWatkcfXxCJFLVE1jUq1AqNVB2vHmXfYv9rkV\nAG4qQoHi59dWbyVOzdzfi/wnlaRoaj8gBYxOEJBGgWHvQ2S8IbgBlOF0A5AY6SjfyL5vdBmv\npiyJnIiKOBNk94YQeXnRsd3b2IkfgKBib5y35iwGoOj0JVkXEap1XAwM4DgyydSQ2Rue+dPz\n1anVgdGmDiIQyQ24emD6+pnfz2g8T4YijL5fEF/t9VaSxQXSGfChNta/ht3eXks/ICRMzdYZ\noZNOc+KC3TRgyNrHzvGWiYauQ3YP4OLWnU+nVueETwZCsQ4ksNcrsI7ChozcboPDXDIrRNxO\n59//pbiK4eJS7F9l+FafCSMRbqPlnU6OihpRB+KzyGEISqK77QyE62fjJ/9ktnyz2bsQbRp5\nvGT5xhVx6XyHNhjuz5Ht50isM+5bS2jBj3FNk9XzxDrZaygR+vh7mRSr9nw7NUfHas+3Yfct\nAktH6yz1Vxo4zITuLVyGeqgX8jG1xvTt5ARc6fqGk8jMe9iAERPz6qQPk9sxpfIWxYL1C1to\nizEKke3eVxmHbOlVE8rP0JV5nJcEe75BcODTi6rBMLCynUSOclPOOwG63kF9w5o93+Z2Ikwt\nSt1pQpO32fIN0bK6z7IxZpEGQXYgRGhQFB8/IKxrbC3PTtNC2KxB8UAiTKMMYhzbKItWqoPA\nEeLlrxUzptbrAdj08esna3ijEh0HPscirbgVxv7njUu69BTrTICQLW1bp7x/qQyhWqe9xwII\nezCmeJR9Q4f5nFmNUFeKL3FqBhJh+iiWRtc3rEjmRyDtwTrfHocBZE0Je1Qnz341zW2QfTeq\nCkUsMcTfWE+VdZ9GxJbG5fAjdFRdnx9H0lWuJD3fVEFo+TOQgtDqL/Hh1yVfygdVt8O2b7OH\nJ2+yfUNy0XOsSaxTe4471DQg2ub63g0xBoUHzszbaPs2ajiUJpcUunU8hH0Y2Y+n5G0kTNG0\nTU88EEah6a0NRGY6xzlsIsjwsJnkzUXK9+2+WS/fN6yj0ioQOTynqMYcZYH4Qp/u/jTEMBQk\nm/IGTSbttpA0wsYYq3kLafJ9w2Ln1kOASJjWnWgNnfSaOtDk3vcXh5p9bOrtRmM0tRYAhP2K\nTnLiMZvyt41u9Bl6p4WxH6DuosatQNsQ3XSqT0VNoRN9Ot/HMw69bgGjn0UtuqnuUIUuKFO1\nhp1+kf31Mju0azeX+P1rknhG7Wdg0QDs94jZ+q2+v678CFXswkIuPEwIGm5eQ7K09Xewon50\nyHdeLELTOUyW00G4W91im3MizjYeiQVTiPy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mjd5mrYIyssLLZAIVzeqweK74pRDZWzWyuRzkHlRElIG5VJ3PbYaJLEs49LIs+7zdIaNI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\nsUpfMmL83GbpvG0pQT8qKPB66mTQFi+CWCIIQO+seV4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jdOA1AqXx7sku59yc552FZkeclMY1G6NHLh9Ns6022fPXykZIWH1Nlau2vZJU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",
      "text/html": [
       "<img src=\"https://cdn.kesci.com/upload/rt/C99B5FD3BCA74DF68006F520F9D949A9/t4tt2moa80.svg\">"
      ],
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "application/pdf": {
       "height": 420,
       "width": 420
      },
      "image/jpeg": {
       "height": 420,
       "width": 420
      },
      "image/png": {
       "height": 420,
       "width": 420
      },
      "image/svg+xml": {
       "height": 420,
       "isolated": true,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "trace_sigma <- bayesplot::mcmc_trace(\n",
    "  fit_posterior,\n",
    "  pars = \"sigma\"\n",
    ") +\n",
    "  papaja::theme_apa()\n",
    "\n",
    "  trace_sigma"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "E4624BF768A9453BB6DFF01A04318651",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "runtime": {
     "execution_status": null,
     "is_visible": false,
     "status": "default"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "source": [
    "#### 实现贝叶斯因子计算  \n",
    "\n",
    "现在，我们有了 $beta_1$ 的先验分布和后验分布，我们分别计算贝叶斯因子 $BF_{10}$ 和 $BF_{01}$，以表示数据支持备择假设和零假设的证据强度，并且通过直接计算贝叶斯因子的方法，对先验和后验分布在零假设点处的概率密度值进行可视化。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "id": "0C85D15631D343AD9146A5320C934E42",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "vscode": {
     "languageId": "r"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 1).\n",
      "Chain 1: \n",
      "Chain 1: Gradient evaluation took 4e-06 seconds\n",
      "Chain 1: 1000 transitions using 10 leapfrog steps per transition would take 0.04 seconds.\n",
      "Chain 1: Adjust your expectations accordingly!\n",
      "Chain 1: \n",
      "Chain 1: \n",
      "Chain 1: Iteration:    1 / 6000 [  0%]  (Warmup)\n",
      "Chain 1: Iteration:  600 / 6000 [ 10%]  (Warmup)\n",
      "Chain 1: Iteration: 1001 / 6000 [ 16%]  (Sampling)\n",
      "Chain 1: Iteration: 1600 / 6000 [ 26%]  (Sampling)\n",
      "Chain 1: Iteration: 2200 / 6000 [ 36%]  (Sampling)\n",
      "Chain 1: Iteration: 2800 / 6000 [ 46%]  (Sampling)\n",
      "Chain 1: Iteration: 3400 / 6000 [ 56%]  (Sampling)\n",
      "Chain 1: Iteration: 4000 / 6000 [ 66%]  (Sampling)\n",
      "Chain 1: Iteration: 4600 / 6000 [ 76%]  (Sampling)\n",
      "Chain 1: Iteration: 5200 / 6000 [ 86%]  (Sampling)\n",
      "Chain 1: Iteration: 5800 / 6000 [ 96%]  (Sampling)\n",
      "Chain 1: Iteration: 6000 / 6000 [100%]  (Sampling)\n",
      "Chain 1: \n",
      "Chain 1:  Elapsed Time: 0.007 seconds (Warm-up)\n",
      "Chain 1:                0.034 seconds (Sampling)\n",
      "Chain 1:                0.041 seconds (Total)\n",
      "Chain 1: \n",
      "\n",
      "SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 2).\n",
      "Chain 2: \n",
      "Chain 2: Gradient evaluation took 2e-06 seconds\n",
      "Chain 2: 1000 transitions using 10 leapfrog steps per transition would take 0.02 seconds.\n",
      "Chain 2: Adjust your expectations accordingly!\n",
      "Chain 2: \n",
      "Chain 2: \n",
      "Chain 2: Iteration:    1 / 6000 [  0%]  (Warmup)\n",
      "Chain 2: Iteration:  600 / 6000 [ 10%]  (Warmup)\n",
      "Chain 2: Iteration: 1001 / 6000 [ 16%]  (Sampling)\n",
      "Chain 2: Iteration: 1600 / 6000 [ 26%]  (Sampling)\n",
      "Chain 2: Iteration: 2200 / 6000 [ 36%]  (Sampling)\n",
      "Chain 2: Iteration: 2800 / 6000 [ 46%]  (Sampling)\n",
      "Chain 2: Iteration: 3400 / 6000 [ 56%]  (Sampling)\n",
      "Chain 2: Iteration: 4000 / 6000 [ 66%]  (Sampling)\n",
      "Chain 2: Iteration: 4600 / 6000 [ 76%]  (Sampling)\n",
      "Chain 2: Iteration: 5200 / 6000 [ 86%]  (Sampling)\n",
      "Chain 2: Iteration: 5800 / 6000 [ 96%]  (Sampling)\n",
      "Chain 2: Iteration: 6000 / 6000 [100%]  (Sampling)\n",
      "Chain 2: \n",
      "Chain 2:  Elapsed Time: 0.007 seconds (Warm-up)\n",
      "Chain 2:                0.037 seconds (Sampling)\n",
      "Chain 2:                0.044 seconds (Total)\n",
      "Chain 2: \n",
      "\n",
      "SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 3).\n",
      "Chain 3: \n",
      "Chain 3: Gradient evaluation took 3e-06 seconds\n",
      "Chain 3: 1000 transitions using 10 leapfrog steps per transition would take 0.03 seconds.\n",
      "Chain 3: Adjust your expectations accordingly!\n",
      "Chain 3: \n",
      "Chain 3: \n",
      "Chain 3: Iteration:    1 / 6000 [  0%]  (Warmup)\n",
      "Chain 3: Iteration:  600 / 6000 [ 10%]  (Warmup)\n",
      "Chain 3: Iteration: 1001 / 6000 [ 16%]  (Sampling)\n",
      "Chain 3: Iteration: 1600 / 6000 [ 26%]  (Sampling)\n",
      "Chain 3: Iteration: 2200 / 6000 [ 36%]  (Sampling)\n",
      "Chain 3: Iteration: 2800 / 6000 [ 46%]  (Sampling)\n",
      "Chain 3: Iteration: 3400 / 6000 [ 56%]  (Sampling)\n",
      "Chain 3: Iteration: 4000 / 6000 [ 66%]  (Sampling)\n",
      "Chain 3: Iteration: 4600 / 6000 [ 76%]  (Sampling)\n",
      "Chain 3: Iteration: 5200 / 6000 [ 86%]  (Sampling)\n",
      "Chain 3: Iteration: 5800 / 6000 [ 96%]  (Sampling)\n",
      "Chain 3: Iteration: 6000 / 6000 [100%]  (Sampling)\n",
      "Chain 3: \n",
      "Chain 3:  Elapsed Time: 0.007 seconds (Warm-up)\n",
      "Chain 3:                0.035 seconds (Sampling)\n",
      "Chain 3:                0.042 seconds (Total)\n",
      "Chain 3: \n",
      "\n",
      "SAMPLING FOR MODEL 'anon_model' NOW (CHAIN 4).\n",
      "Chain 4: \n",
      "Chain 4: Gradient evaluation took 2e-06 seconds\n",
      "Chain 4: 1000 transitions using 10 leapfrog steps per transition would take 0.02 seconds.\n",
      "Chain 4: Adjust your expectations accordingly!\n",
      "Chain 4: \n",
      "Chain 4: \n",
      "Chain 4: Iteration:    1 / 6000 [  0%]  (Warmup)\n",
      "Chain 4: Iteration:  600 / 6000 [ 10%]  (Warmup)\n",
      "Chain 4: Iteration: 1001 / 6000 [ 16%]  (Sampling)\n",
      "Chain 4: Iteration: 1600 / 6000 [ 26%]  (Sampling)\n",
      "Chain 4: Iteration: 2200 / 6000 [ 36%]  (Sampling)\n",
      "Chain 4: Iteration: 2800 / 6000 [ 46%]  (Sampling)\n",
      "Chain 4: Iteration: 3400 / 6000 [ 56%]  (Sampling)\n",
      "Chain 4: Iteration: 4000 / 6000 [ 66%]  (Sampling)\n",
      "Chain 4: Iteration: 4600 / 6000 [ 76%]  (Sampling)\n",
      "Chain 4: Iteration: 5200 / 6000 [ 86%]  (Sampling)\n",
      "Chain 4: Iteration: 5800 / 6000 [ 96%]  (Sampling)\n",
      "Chain 4: Iteration: 6000 / 6000 [100%]  (Sampling)\n",
      "Chain 4: \n",
      "Chain 4:  Elapsed Time: 0.008 seconds (Warm-up)\n",
      "Chain 4:                0.037 seconds (Sampling)\n",
      "Chain 4:                0.045 seconds (Total)\n",
      "Chain 4: \n"
     ]
    }
   ],
   "source": [
    "# =====================================\n",
    "# 从先验采样（无数据似然）\n",
    "# =====================================\n",
    "\n",
    "# 修改Stan代码以采样先验（注释掉似然）\n",
    "stan_prior_code <- \"\n",
    "data {\n",
    "  int<lower=0> N;          // 虚拟\n",
    "  vector[N] x;             // 虚拟\n",
    "  vector[N] y;             // 虚拟\n",
    "}\n",
    "parameters {\n",
    "  real beta_0;\n",
    "  real beta_1;\n",
    "  real<lower=0> sigma;\n",
    "}\n",
    "model {\n",
    "  // 先验\n",
    "  beta_0 ~ normal(5, 2);\n",
    "  beta_1 ~ normal(0, 1);\n",
    "  sigma ~ exponential(0.3);\n",
    "  \n",
    "  // 无似然\n",
    "}\n",
    "\"\n",
    "\n",
    "# 编译先验模型\n",
    "prior_model <- stan_model(model_code = stan_prior_code)\n",
    "\n",
    "# 从先验采样（使用虚拟数据）\n",
    "fit_prior <- sampling(\n",
    "  prior_model,\n",
    "  data = stan_data,  # 虚拟\n",
    "  iter = 6000,\n",
    "  warmup = 1000,\n",
    "  chains = 4,\n",
    "  seed = 84735\n",
    ")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "1C3A2181C6C24FC4A3B843A7083F05F1",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "runtime": {
     "execution_status": null,
     "is_visible": false,
     "status": "default"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "source": [
    "**🔍 Savage-Dickey 公式来源**  \n",
    "\n",
    "Savage-Dickey 密度比的标准形式是（见 Wagenmakers et al., 2010）：  \n",
    "\n",
    "$$  \n",
    "\\text{BF}_{01} = \\frac{p(\\beta_1 = 0 \\mid \\text{data}, \\mathcal{M}_1)}{p(\\beta_1 = 0 \\mid \\mathcal{M}_1)}  \n",
    "$$  \n",
    "\n",
    "其中：  \n",
    "- 分子 p(β₁=0 | data, M₁)： 表示在备择模型 M₁（即包含参数β₁的模型）下的已经观察到数据之后，参数β₁在零点（原假设H₀指定的点）的后验密度。它衡量了在看到数据后，我们认为β₁等于0的可能性有多大。  \n",
    "- 分母 p(β₁=0 | M₁)： 表示在备择模型 M₁下的看到任何数据之前，参数β₁在零点的先验密度。它衡量了在看到数据之前，我们认为β₁等于0的可能性有多大。  \n",
    "- BF₀₁： 是支持**原假设（M₀）** 相对于**备择假设（M₁）** 的证据。**BF₀₁的值越大，证据越支持原假设（即β₁=0）**。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "id": "B9CAC8A0A6CD44A58BC58F5F12A4E032",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
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    "vscode": {
     "languageId": "r"
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   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The BF_10 is 9.85 \n",
      "The BF_01 is 0.1 \n"
     ]
    }
   ],
   "source": [
    "# 提取beta_1的先验样本\n",
    "posterior_samples <- extract(fit_prior)\n",
    "beta1_prior <- posterior_samples$beta_1\n",
    "\n",
    "# 提取后验样本\n",
    "posterior_samples <- extract(fit_posterior)\n",
    "beta1_posterior <- posterior_samples$beta_1\n",
    "\n",
    "# 计算贝叶斯因子\n",
    "\n",
    "# 使用核密度估计计算密度在 0 处的值\n",
    "prior_density <- density(beta1_prior, from = -0.5, to = 0.5, n = 1024)\n",
    "posterior_density <- density(beta1_posterior, from = -0.5, to = 0.5, n = 1024)\n",
    "\n",
    "# 找到最接近 0 的点的密度值\n",
    "idx_0_prior <- which.min(abs(prior_density$x))\n",
    "idx_0_post <- which.min(abs(posterior_density$x))\n",
    "\n",
    "prior_at_0 <- prior_density$y[idx_0_prior]\n",
    "posterior_at_0 <- posterior_density$y[idx_0_post]\n",
    "\n",
    "# 计算 Savage-Dickey 比\n",
    "BF_01 <- posterior_at_0 / prior_at_0# 支持 H0 相对于 H1\n",
    "BF_10 <- 1 / BF_01# 支持 H1（β₁ ≠ 0）相对于 H0（β₁ = 0）\n",
    "\n",
    "\n",
    "cat(\"The BF_10 is\", round(BF_10, 2), \"\\n\")\n",
    "cat(\"The BF_01 is\", round(BF_01, 2), \"\\n\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
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   },
   "outputs": [
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7nTz3727zWwv773GpffxAGN/fSPeAHffX+BNRdCE792eI4SfyrSuNKjLGwCv//h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      "text/html": [
       "<img src=\"https://cdn.kesci.com/upload/rt/4DB29FEE4F854D03AE55C8C11329B3E1/t4tt3tci9j.svg\">"
      ],
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "application/pdf": {
       "height": 420,
       "width": 420
      },
      "image/jpeg": {
       "height": 420,
       "width": 420
      },
      "image/png": {
       "height": 420,
       "width": 420
      },
      "image/svg+xml": {
       "height": 420,
       "isolated": true,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘制贝叶斯因子图\n",
    "df_prior <- data.frame(\n",
    "  beta_1 = prior_density$x,\n",
    "  density = prior_density$y,\n",
    "  type = \"Prior\"\n",
    ")\n",
    "\n",
    "df_posterior <- data.frame(\n",
    "  beta_1 = posterior_density$x,\n",
    "  density = posterior_density$y,\n",
    "  type = \"Posterior\"\n",
    ")\n",
    "\n",
    "df_combined <- bind_rows(df_prior, df_posterior)\n",
    "\n",
    "# 在 x=0 处标记点\n",
    "point_data <- data.frame(\n",
    "  beta_1 = 0,\n",
    "  density = c(prior_at_0, posterior_at_0),\n",
    "  type = c(\"Prior\", \"Posterior\")\n",
    ")\n",
    "\n",
    "# 绘图\n",
    "p <- ggplot(df_combined, aes(x = beta_1, y = density, color = type)) +\n",
    "  geom_line(size = 1) +\n",
    "  geom_point(data = point_data, aes(color = type), size = 3) +\n",
    "  geom_vline(xintercept = 0, linetype = \"dashed\", color = \"black\") +\n",
    "  scale_color_manual(values = c(\"Prior\" = \"steelblue\", \"Posterior\" = \"orange\")) +\n",
    "  labs(\n",
    "    title = paste0(\"The BF_10 is \", round(BF_10, 2), \"\\nThe BF_01 is \", round(BF_01, 2)),\n",
    "    x = expression(beta[1]),\n",
    "    y = \"Density\",\n",
    "    color = \"Distribution\"\n",
    "  ) +\n",
    "  xlim(-0.5, 0.5) +\n",
    "  theme_minimal() +\n",
    "  theme(\n",
    "    panel.grid.minor = element_blank(),\n",
    "    axis.line = element_line(color = \"black\"),\n",
    "    legend.position = c(0.7, 0.9),\n",
    "    plot.title = element_text(hjust = 0.5)\n",
    "  )\n",
    "\n",
    "p"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "EDA4080B4FC84213AA49EF6283B05E57",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "runtime": {
     "execution_status": null,
     "is_visible": false,
     "status": "default"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "source": [
    "通过上图我们可以发现：  \n",
    "\n",
    "1. $BF_{10} = 9.85$：表示数据支持$H_1$的强度相对于$H_0$设为 9.85。  \n",
    "2. $BF_{01} = 0.10$：表示数据支持$H_0$的强度相对于$H_1$为 0.10。  \n",
    "   \n",
    "总结：通过贝叶斯因子的计算，对于数据倾向于支持 $\\beta_1 \\neq 0$，即存在效应提供了中等强度的证据。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "1BB73A090CA44969B682F2DE3D732AE4",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "runtime": {
     "execution_status": null,
     "is_visible": false,
     "status": "default"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "source": [
    "#### 与 JASP 的对比  \n",
    "\n",
    "在上一小节，我们通过直接比较先验和后验分布在零点的密度差异来检验某个效应是否为零。  \n",
    "\n",
    "然而，[JASP（Jeffreys's Amazing Statistics Program）](https://jasp-stats.org/)提供了一种不同的方法来计算贝叶斯因子：  \n",
    "\n",
    "* JASP 是一个基于 R 语言的开源软件，以其易用性和友好的图形界面广受欢迎，主要用于心理学、社会学等领域的统计分析。  \n",
    "* JASP 使用贝叶斯模型来计算贝叶斯因子，包括模型比较和桥采样法（Bridge Sampling）等技术，能够通过计算后验和先验分布的比值，评估不同模型或假设的相对支持程度。与 Savage-Dickey 方法不同，桥采样不局限于单参数或简单假设，因此更适合模型比较和复杂假设检验。  \n",
    "\n",
    "**注意：由于这里的方法基于模型比较，它更适合模型比较和复杂假设检验，因此和 Savage-Dickey 方法不同。**  \n",
    "\n",
    "<div style=\"padding-bottom: 30px;\"></div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "7334C09CD764447FB314866D1419BB21",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "runtime": {
     "execution_status": null,
     "is_visible": false,
     "status": "default"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "source": [
    "但可以看到两者结果的结论基本是一致的：$BF_{10}(SD方法)=9.85$；$BF_{10}(模型比较)=17.18$  \n",
    "\n",
    "注意：在JASP的实际运算中，软件会自动调整先验，因此与我们设置的先验不同，计算得到的贝叶斯因子也会有所不同。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false,
    "id": "F50648B46A1842208A26C6448BBCCF5D",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "vscode": {
     "languageId": "r"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Compiling models...\n",
      "Sampling H0...\n",
      "Sampling H1...\n"
     ]
    }
   ],
   "source": [
    "# H0: 仅截距\n",
    "stan_H0 <- \"\n",
    "data {\n",
    "  int<lower=0> N;\n",
    "  vector[N] y;\n",
    "}\n",
    "parameters {\n",
    "  real beta_0;\n",
    "  real<lower=0> sigma;\n",
    "}\n",
    "model {\n",
    "  // 先验\n",
    "  beta_0 ~ normal(5, 2);\n",
    "  sigma ~ exponential(0.3);  // \n",
    "  \n",
    "  // 似然\n",
    "  y ~ normal(beta_0, sigma);\n",
    "}\n",
    "\"\n",
    "# H1: 截距 + 斜率\n",
    "stan_H1 <- \"\n",
    "data {\n",
    "  int<lower=0> N;\n",
    "  vector[N] x;\n",
    "  vector[N] y;\n",
    "}\n",
    "parameters {\n",
    "  real beta_0;\n",
    "  real beta_1;\n",
    "  real<lower=0> sigma;\n",
    "}\n",
    "model {\n",
    "  // 先验\n",
    "  beta_0 ~ normal(5, 2);\n",
    "  beta_1 ~ normal(0, 1);\n",
    "  sigma ~ exponential(0.3);  //\n",
    "  \n",
    "  // 似然\n",
    "  y ~ normal(beta_0 + beta_1 * x, sigma);\n",
    "}\n",
    "\"\n",
    "\n",
    "# ==============================\n",
    "# 2. 编译模型\n",
    "# ==============================\n",
    "cat(\"Compiling models...\\n\")\n",
    "model_H0 <- stan_model(model_code = stan_H0)\n",
    "model_H1 <- stan_model(model_code = stan_H1)\n",
    "\n",
    "# ==============================\n",
    "# 3. 采样（后验）\n",
    "# ==============================\n",
    "set.seed(84735)\n",
    "\n",
    "cat(\"Sampling H0...\\n\")\n",
    "fit_H0 <- sampling(\n",
    "  model_H0,\n",
    "  data = stan_data,\n",
    "  iter = 5000,\n",
    "  warmup = 1000,\n",
    "  chains = 4,\n",
    "  seed = 84735,\n",
    "  refresh = 0\n",
    ")\n",
    "\n",
    "cat(\"Sampling H1...\\n\")\n",
    "fit_H1 <- sampling(\n",
    "  model_H1,\n",
    "  data = stan_data,\n",
    "  iter = 5000,\n",
    "  warmup = 1000,\n",
    "  chains = 4,\n",
    "  seed = 84735,\n",
    "  refresh = 0\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "id": "3898E83ADFC84B21AAAD17AD279A569D",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "vscode": {
     "languageId": "r"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration: 1\n",
      "Iteration: 2\n",
      "Iteration: 3\n",
      "Iteration: 4\n",
      "Iteration: 5\n",
      "Iteration: 1\n",
      "Iteration: 2\n",
      "Iteration: 3\n",
      "Iteration: 4\n",
      "BF_10 = 17.18 \n",
      "BF_01 = 0.058 \n"
     ]
    }
   ],
   "source": [
    "bridge_H0 <- bridge_sampler(fit_H0)\n",
    "bridge_H1 <- bridge_sampler(fit_H1)\n",
    "\n",
    "# 计算 BF\n",
    "BF_10 <- exp(bridge_H1$logml - bridge_H0$logml)\n",
    "BF_01 <- 1 / BF_10\n",
    "\n",
    "cat(\"BF_10 =\", round(BF_10, 3), \"\\n\")\n",
    "cat(\"BF_01 =\", round(BF_01, 3), \"\\n\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "3B5385E338BD49409DBF3F87E5D43A11",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "runtime": {
     "execution_status": null,
     "is_visible": false,
     "status": "default"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "source": [
    "### Testing against a null-region  \n",
    "\n",
    "现在，我们证实了$\\beta_1 \\neq 0$，即自我和他人条件对于反应时间有差异，但这个差异会不会非常小，是否在我们认为可以忽略的区间内呢？  \n",
    "\n",
    "\n",
    "**回顾 ROPE**  \n",
    "\n",
    "* 在之前的课程中，我们讨论过如何使用 HDI 和 ROPE 来进行假设检验。  \n",
    "* 我们假设了 $\\beta_1$ 的值在 $[-0.05, 0.05]$ 范围内可以视为实用等效区间，也就是说，  \n",
    "* 如果 $\\beta_1$ 落在这个区间内，我们可以认为 self 和 other 条件之间的反应时间差异可以忽略不计，从而在实践上认为两者无显著差异。  \n",
    "\n",
    "**ROPE 对于贝叶斯因子的意义**  \n",
    "\n",
    "* 在假设检验中，设定一个“零区域”（null region）可以帮助我们定义一个在实际意义上视为“无效”的效果范围。  \n",
    "* 通过设定零区域，我们可以计算先验概率和后验概率，进而计算贝叶斯因子来量化数据对假设的支持强度。  \n",
    "* 我们可以计算 \"label\" 条件下反应时间差异落在零假设区间之外的先验概率，以及落在零假设区间之内的先验概率，从而得到我们的先验概率比（prior odds）。  \n",
    "\n",
    "$$  \n",
    "BF_{10} = \\frac{P(\\text{Data} | H_1)}{P(\\text{Data} | H_0)} = \\frac{P(Data|\\beta_1 \\notin [-0.05,0.05])}{P(Data|\\beta_1 \\in [-0.05,0.05])}  \n",
    "$$  \n",
    "\n",
    "<div style=\"padding-bottom: 30px;\"></div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "51C893081B5942B5B0DFC4F3B0324327",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "runtime": {
     "execution_status": null,
     "is_visible": false,
     "status": "default"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "source": [
    "由于 arviz 没有提供直接计算区间假设检验的方法，因此需要我们自己实现。  \n",
    "\n",
    "根据上面公式，贝叶斯因子由两部分组成：先验概率比 + 后验概率比。  \n",
    "\n",
    "> 参考资料：https://easystats.github.io/bayestestR/articles/bayes_factors.html#testing-against-a-null-region  \n",
    "\n",
    "下面我们先计算先验概率比。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "id": "31A998EF46FD4876BEF22067F42259C9",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "vscode": {
     "languageId": "r"
    }
   },
   "outputs": [],
   "source": [
    "calculate_odds <- function(tace_samples, region = c(-0.05, 0.05)) {\n",
    "\n",
    "#计算区间 [-0.05, 0.05] 内的样本\n",
    "in_range <- tace_samples[tace_samples >= region[1] & tace_samples <= region[2]]\n",
    "\n",
    "#计算区间外的样本\n",
    "out_of_range <- tace_samples[tace_samples < region[1] | tace_samples > region[2]]\n",
    "\n",
    "#计算区间内外的比例\n",
    "P_in_range <- length(in_range) / length(tace_samples)\n",
    "P_out_of_range <- length(out_of_range) / length(tace_samples)\n",
    "\n",
    "#计算比率\n",
    "ratio <- P_out_of_range / P_in_range\n",
    "\n",
    "return(ratio)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "id": "493402A30D17487B90F9A588D4B7510F",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "vscode": {
     "languageId": "r"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "先验概率比(prior_odds) = 24.2525 \n"
     ]
    }
   ],
   "source": [
    "prior_odds <- calculate_odds(beta1_prior, region<-c(-0.05, 0.05))\n",
    "\n",
    "cat(\"先验概率比(prior_odds) =\", round(prior_odds, 4), \"\\n\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": false,
    "id": "D6AECB0C99EA4D758CD325CE20F65DA4",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "vscode": {
     "languageId": "r"
    }
   },
   "outputs": [],
   "source": [
    "plot_region <- function(samples, region = c(-0.05, 0.05), dist_type = \"Prior\") {  \n",
    "  df <- data.frame(x = samples)  \n",
    "  \n",
    "  # 计算密度用于 y 位置\n",
    "  density_data <- density(samples, n = 1024)\n",
    "  null_mask <- density_data$x >= region[1] & density_data$x <= region[2]\n",
    "  alt_mask <- !null_mask\n",
    "  \n",
    "  null_density_vals <- density_data$y[null_mask]\n",
    "  alt_density_vals <- density_data$y[alt_mask]\n",
    "  \n",
    "  # x 轴范围\n",
    "  x_range <- range(samples)\n",
    "  x_span <- diff(x_range)\n",
    "  \n",
    "  ggplot(df, aes(x = x)) +    \n",
    "    stat_density(geom = \"line\", color = \"black\", size = 1) +    \n",
    "    stat_density(      \n",
    "      geom = \"area\",      \n",
    "      data = df %>% filter(x >= region[1] & x <= region[2]),      \n",
    "      fill = \"blue\", alpha = 0.3,      \n",
    "      aes(y = ..density..)\n",
    "    ) +    \n",
    "    stat_density(      \n",
    "      geom = \"area\",      \n",
    "      data = df %>% filter(x < region[1] | x > region[2]),      \n",
    "      fill = \"yellow\", alpha = 0.3,      \n",
    "      aes(y = ..density..)\n",
    "    ) +    \n",
    "    # Null 标签\n",
    "    annotate(\"text\", \n",
    "             x = mean(region),  \n",
    "             y = if(length(null_density_vals) > 0) max(null_density_vals) * 0.6 else 0,\n",
    "             label = \"Null\", \n",
    "             color = \"blue\", \n",
    "             fontface = \"bold\",\n",
    "             size = 4) +\n",
    "    # Alternative 标签\n",
    "    annotate(\"text\", \n",
    "             x = if (abs(x_range[1]) > x_range[2]) {\n",
    "               x_range[1] + 0.15 * x_span  \n",
    "             } else {\n",
    "               x_range[2] - 0.15 * x_span  \n",
    "             },\n",
    "             y = if(length(alt_density_vals) > 0) max(alt_density_vals) * 0.6 else 0,\n",
    "             label = \"Alternative\", \n",
    "             color = \"darkorange\", \n",
    "             fontface = \"bold\",\n",
    "             size = 4) +\n",
    "    labs(      \n",
    "      title = paste0(dist_type, \" Distribution with Null Region\"),      \n",
    "      x = expression(beta[1]),      \n",
    "      y = \"Density\"    \n",
    "    ) +    \n",
    "    scale_x_continuous(limits = c(x_range[1] - 0.05 * x_span, x_range[2] + 0.05 * x_span)) +    \n",
    "    theme_minimal() +    \n",
    "    theme(plot.title = element_text(hjust = 0.5)) \n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": false,
    "id": "24766F7FCE2D4815AF719EBEC93C45F7",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "vscode": {
     "languageId": "r"
    }
   },
   "outputs": [
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wt9XujyQrMXAt7MXkLPBVaupIBLJSep8QS6Vq0sLc16cHrH83OI5CDBSqfk8hmQ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\nZgoyMjgzMgolJUVPRgo=",
      "text/html": [
       "<img src=\"https://cdn.kesci.com/upload/rt/24766F7FCE2D4815AF719EBEC93C45F7/t4tur3xkkq.svg\">"
      ],
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "application/pdf": {
       "height": 420,
       "width": 420
      },
      "image/jpeg": {
       "height": 420,
       "width": 420
      },
      "image/png": {
       "height": 420,
       "width": 420
      },
      "image/svg+xml": {
       "height": 420,
       "isolated": true,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_region(beta1_prior, region = c(-0.05, 0.05), dist_type = \"Prior\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "5D4C8E970D8E4D3C8EE33E3DFC7D3F64",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "runtime": {
     "execution_status": null,
     "is_visible": false,
     "status": "default"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "source": [
    "此时，我们可以通过计算后验概率比（Posterior Odds），评估数据更新后参数值在零假设区间内和区间外的相对支持程度。  \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "id": "C39EDAFD259940E9BD3AFF84DDFC82DE",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "vscode": {
     "languageId": "r"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "后验概率比(posterior_odds) = 57.9971 \n"
     ]
    }
   ],
   "source": [
    "posterior_odds <- calculate_odds(beta1_posterior, region<-c(-0.05, 0.05))\n",
    "\n",
    "cat(\"后验概率比(posterior_odds) =\", round(posterior_odds, 4), \"\\n\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": false,
    "id": "A347868D52DC4AF19A2B7A89A178DC3E",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "vscode": {
     "languageId": "r"
    }
   },
   "outputs": [
    {
     "data": {
      "application/pdf": 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fsHkUXKmSw/p08+kdcnbPG0b/lE+ewn6uxt9mIMe4w3y2Z3ublycCJg23MLmOrP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\nZNGFv5XqaQ9VSS0erYJqLFWWGWJ5U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      "text/html": [
       "<img src=\"https://cdn.kesci.com/upload/rt/A347868D52DC4AF19A2B7A89A178DC3E/t4turbbvhg.svg\">"
      ],
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "application/pdf": {
       "height": 420,
       "width": 420
      },
      "image/jpeg": {
       "height": 420,
       "width": 420
      },
      "image/png": {
       "height": 420,
       "width": 420
      },
      "image/svg+xml": {
       "height": 420,
       "isolated": true,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_region(beta1_posterior, region = c(-0.05, 0.05), dist_type = \"Posterior\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "9F3EEF0005344CBE9E7F15448F0F56C4",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "runtime": {
     "execution_status": null,
     "is_visible": false,
     "status": "default"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "source": [
    "通过先前的贝叶斯因子计算公式，我们可以知道贝叶斯因子为先验概率比和后验概率比的比值：  \n",
    "\n",
    "$$  \n",
    "\\begin{align*}  \n",
    "\\text{BF}_{10} &= \\frac{\\text{posterior odds}}{\\text{prior odds}}  \n",
    "\\end{align*}  \n",
    "$$  \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false,
    "id": "C1E8978A806B44059187A55E85E220EF",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "vscode": {
     "languageId": "r"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "贝叶斯因子（BF_10）: 2.391382 \n"
     ]
    }
   ],
   "source": [
    "BF_10 = (posterior_odds)/(prior_odds)\n",
    "\n",
    "cat(\"贝叶斯因子（BF_10）:\", BF_10,\"\\n\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "A4B13193D7DF49E490016D47290E1D1E",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "runtime": {
     "execution_status": null,
     "is_visible": false,
     "status": "default"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "source": [
    "\n",
    "接下来我们将可视化先验和后验分布，从而清晰地展示出数据对零假设区域内外的支持度如何发生了变化："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false,
    "id": "C26689C3321D4E039B1E5EAE5FE40516",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "vscode": {
     "languageId": "r"
    }
   },
   "outputs": [
    {
     "data": {
      "application/pdf": 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QWYT8vt4qjTLpcqe+6xf/Rd9nb9jfnF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      "text/html": [
       "<img src=\"https://cdn.kesci.com/upload/rt/C26689C3321D4E039B1E5EAE5FE40516/t4ttqgk7za.svg\">"
      ],
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "application/pdf": {
       "height": 420,
       "width": 420
      },
      "image/jpeg": {
       "height": 420,
       "width": 420
      },
      "image/png": {
       "height": 420,
       "width": 420
      },
      "image/svg+xml": {
       "height": 420,
       "isolated": true,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 创建长格式数据框\n",
    "df_plot <- tibble(\n",
    "  prior = beta1_prior,\n",
    "  posterior = beta1_posterior\n",
    ") %>%\n",
    "  pivot_longer(\n",
    "    cols = everything(),\n",
    "    names_to = \"distribution\",\n",
    "    values_to = \"beta1\"\n",
    "  )\n",
    "\n",
    "# 定义零区域\n",
    "null_region <- c(-0.05, 0.05)\n",
    "\n",
    "dens_prior <- density(beta1_prior, from = -1, to = 1)\n",
    "dens_post <- density(beta1_posterior, from = -1, to = 1)\n",
    "max_dens <- max(dens_prior$y, dens_post$y)\n",
    "\n",
    "# 绘图\n",
    "ggplot(df_plot, aes(x = beta1, fill = distribution, color = distribution)) +\n",
    "  # 密度曲线 + 填充\n",
    "  geom_density(alpha = 0.3, size = 1) +\n",
    "  \n",
    "  # 高亮零假设区域（[-0.05, 0.05]）\n",
    "  annotate(\"rect\", \n",
    "           xmin = null_region[1], xmax = null_region[2],\n",
    "           ymin = -Inf, ymax = Inf,\n",
    "           fill = \"blue\", alpha = 0.2, inherit.aes = FALSE) +\n",
    "  \n",
    "  # 垂直虚线 at 0\n",
    "  geom_vline(xintercept = 0, linetype = \"dashed\", color = \"grey\", size = 1) +\n",
    "  \n",
    "  annotate(\"text\",\n",
    "           x = 0,  # 放在零区域中心\n",
    "           y = max_dens * 0.9,\n",
    "           label = \"Null\",\n",
    "           color = \"blue\",\n",
    "           fontface = \"bold\",\n",
    "           size = 4) +\n",
    "  \n",
    "  annotate(\"text\",\n",
    "           x = 0.4,  \n",
    "           y = max_dens * 0.7,\n",
    "           label = \"Alternative\",\n",
    "           color = \"darkorange\",  # 比 coral 更清晰\n",
    "           fontface = \"bold\",\n",
    "           size = 4) +\n",
    "  \n",
    "  # 坐标轴范围\n",
    "  xlim(-1, 1) +\n",
    "  \n",
    "  # 标签和标题\n",
    "  labs(\n",
    "    title = \"Prior and Posterior Distribution\",\n",
    "    x = expression(beta[1]),\n",
    "    y = \"Density\",\n",
    "    fill = \"Distribution\",\n",
    "    color = \"Distribution\"\n",
    "  ) +\n",
    "  \n",
    "  # 颜色设置（cyan = 先验，coral = 后验）\n",
    "  scale_fill_manual(values = c(\"prior\" = \"cyan\", \"posterior\" = \"coral\")) +\n",
    "  scale_color_manual(values = c(\"prior\" = \"cyan\", \"posterior\" = \"coral\")) +\n",
    "  \n",
    "  # 移除顶部和右侧边框\n",
    "  theme_minimal() +\n",
    "  theme(\n",
    "    panel.border = element_rect(fill = NA, colour = \"black\"),\n",
    "    panel.grid.minor = element_blank(),\n",
    "    legend.position = \"upper right\"\n",
    "  )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "0E4B64F9DDAF42B3B0726F02602CB0E4",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "runtime": {
     "execution_status": null,
     "is_visible": false,
     "status": "default"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "source": [
    "总结：通过可视化，可以发现先验分布的较大部分在零假设区域内，而后验分布则主要集中在零假设区域外，表明数据对备择假设（即  $\\beta_1 \\neq 0$）提供了支持，尽管支持的力度相对有限。  \n",
    "\n",
    "同时，通过直接计算贝叶斯因子的结果也可得出：数据提供了 $2.3879$ 倍的证据证明 $\\beta_1$ 落在 $[-0.05, 0.05]$ 区间外的概率更大  \n",
    "\n",
    "因此，比值直接计算的结果和可视化的结果基本是一致的，两者都表明数据对备择假设的支持存在，但并不非常强。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "86DB075CBF0E4A499D264FCA51F46024",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "runtime": {
     "execution_status": null,
     "is_visible": false,
     "status": "default"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "source": [
    "### 练习: Directional hypotheses  \n",
    "\n",
    "现在我们知道了数据支持在self和other条件下的反应时间有差异，而我们对于其效应的方向（正向或负向）有先验假设，即在“self”条件下的反应时间更短，  \n",
    "\n",
    "那么我们可以通过Directional hypotheses 检验效应是否朝着我们预期的方向发展，计算方向假设（“单侧”）的贝叶斯因子。  \n",
    "\n",
    "在本例中，我们希望测试的是在“self”条件下的反应时间是否比“other”条件更短，因此备择假设将限制在零假设（点或区间）的左侧区域，即更倾向负向的效果。  \n",
    "\n",
    "那么 $H_1$: $\\beta_1 < 0$ 表示“self”条件下反应时间较短的情况。  \n",
    "\n",
    "思考🤔：如何通过贝叶斯因子量化支持该假设的相对证据强度呢?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false,
    "id": "E573DD1E4F36476AA161641573507AE8",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "vscode": {
     "languageId": "r"
    }
   },
   "outputs": [],
   "source": [
    "# 请直接运行，无需修改\n",
    "calculate_odds <- function(tace_samples, region = c(-0.05, 0.05)) {\n",
    "\n",
    "#计算区间 [-0.05, 0.05] 内的样本\n",
    "in_range <- tace_samples[tace_samples >= region[1] & tace_samples <= region[2]]\n",
    "\n",
    "#计算区间外的样本\n",
    "out_of_range <- tace_samples[tace_samples < region[1] | tace_samples > region[2]]\n",
    "\n",
    "#计算区间内外的比例\n",
    "P_in_range <- length(in_range) / length(tace_samples)\n",
    "P_out_of_range <- length(out_of_range) / length(tace_samples)\n",
    "\n",
    "#计算比率\n",
    "ratio <- P_out_of_range / P_in_range\n",
    "\n",
    "return(ratio)\n",
    "}\n",
    "\n",
    "plot_region <- function(samples, region = c(-0.05, 0.05), dist_type = \"Prior\") {  \n",
    "  df <- data.frame(x = samples)  \n",
    "  \n",
    "  # 计算密度用于 y 位置\n",
    "  density_data <- density(samples, n = 1024)\n",
    "  null_mask <- density_data$x >= region[1] & density_data$x <= region[2]\n",
    "  alt_mask <- !null_mask\n",
    "  \n",
    "  null_density_vals <- density_data$y[null_mask]\n",
    "  alt_density_vals <- density_data$y[alt_mask]\n",
    "  \n",
    "  # x 轴范围\n",
    "  x_range <- range(samples)\n",
    "  x_span <- diff(x_range)\n",
    "  \n",
    "  ggplot(df, aes(x = x)) +    \n",
    "    stat_density(geom = \"line\", color = \"black\", size = 1) +    \n",
    "    stat_density(      \n",
    "      geom = \"area\",      \n",
    "      data = df %>% filter(x >= region[1] & x <= region[2]),      \n",
    "      fill = \"blue\", alpha = 0.3,      \n",
    "      aes(y = ..density..)\n",
    "    ) +    \n",
    "    stat_density(      \n",
    "      geom = \"area\",      \n",
    "      data = df %>% filter(x < region[1] | x > region[2]),      \n",
    "      fill = \"yellow\", alpha = 0.3,      \n",
    "      aes(y = ..density..)\n",
    "    ) +    \n",
    "    # Null 标签\n",
    "    annotate(\"text\", \n",
    "             x = mean(region),  \n",
    "             y = if(length(null_density_vals) > 0) max(null_density_vals) * 0.6 else 0,\n",
    "             label = \"Null\", \n",
    "             color = \"blue\", \n",
    "             fontface = \"bold\",\n",
    "             size = 4) +\n",
    "    # Alternative 标签\n",
    "    annotate(\"text\", \n",
    "             x = if (abs(x_range[1]) > x_range[2]) {\n",
    "               x_range[1] + 0.15 * x_span  \n",
    "             } else {\n",
    "               x_range[2] - 0.15 * x_span  \n",
    "             },\n",
    "             y = if(length(alt_density_vals) > 0) max(alt_density_vals) * 0.6 else 0,\n",
    "             label = \"Alternative\", \n",
    "             color = \"darkorange\", \n",
    "             fontface = \"bold\",\n",
    "             size = 4) +\n",
    "    labs(      \n",
    "      title = paste0(dist_type, \" Distribution with Null Region\"),      \n",
    "      x = expression(beta[1]),      \n",
    "      y = \"Density\"    \n",
    "    ) +    \n",
    "    scale_x_continuous(limits = c(x_range[1] - 0.05 * x_span, x_range[2] + 0.05 * x_span)) +    \n",
    "    theme_minimal() +    \n",
    "    theme(plot.title = element_text(hjust = 0.5)) \n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false,
    "id": "F2031F6560734D62B4BCDD63590F1B26",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "vscode": {
     "languageId": "r"
    }
   },
   "outputs": [],
   "source": [
    "#=====================================\n",
    "#      基于方向的贝叶斯因子计算\n",
    "#      自行练习\n",
    "#=====================================\n",
    "\n",
    "# 获取 beta_1的先验分布的采样\n",
    "# beta_1_prior = ...\n",
    "\n",
    "\n",
    "# 获取 beta_1的后验分布的采样\n",
    "# beta_1_posterior = ..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false,
    "id": "EA4973876C854FC7AE8EDA408D9D1EC9",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "vscode": {
     "languageId": "r"
    }
   },
   "outputs": [],
   "source": [
    "# 定义区间\n",
    "# region = ...\n",
    "\n",
    "# 计算先验比\n",
    "# prior_odds = ...\n",
    "\n",
    "# 计算后验比\n",
    "# prior_odds = ...\n",
    "\n",
    "# 计算贝叶斯因子\n",
    "# BF_10 = ...\n",
    "\n",
    "cat(\"贝叶斯因子（BF_10）:\", BF_10,\"\\n\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": false,
    "id": "B5B803B89D264414BC11AC30789AA5DB",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": [],
    "trusted": true,
    "vscode": {
     "languageId": "r"
    }
   },
   "outputs": [
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6d+EQtPb9wSm5N2n+qbPKZoYG/6yA8Mr1Gd515/ek9lytdRzejrLMQjGlUWC/pu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\n3hV6z2s+s2dKZiv2ZOr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      "text/html": [
       "<img src=\"https://cdn.kesci.com/upload/rt/B5B803B89D264414BC11AC30789AA5DB/t4twywju3q.svg\">"
      ],
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "application/pdf": {
       "height": 420,
       "width": 420
      },
      "image/jpeg": {
       "height": 420,
       "width": 420
      },
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       "height": 420,
       "width": 420
      },
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       "height": 420,
       "isolated": true,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_plot <- tibble(\n",
    "  prior = ...,\n",
    "  posterior = ...\n",
    ") %>%\n",
    "  pivot_longer(\n",
    "    cols = everything(),\n",
    "    names_to = \"distribution\",\n",
    "    values_to = \"beta1\"\n",
    "  )\n",
    "\n",
    "# === 方向性假设：H1: β₁ < 0 ===\n",
    "h0_boundary <- 0  # H₀: β₁ >= 0\n",
    "\n",
    "# 计算最大密度用于标签定位\n",
    "dens_prior <- density(beta1_prior, from = -1, to = 1)\n",
    "dens_post <- density(beta1_posterior, from = -1, to = 1)\n",
    "max_dens <- max(dens_prior$y, dens_post$y)\n",
    "\n",
    "# 绘图\n",
    "ggplot(df_plot, aes(x = beta1, fill = distribution, color = distribution)) +\n",
    "  geom_density(alpha = 0.3, size = 1) +\n",
    "  \n",
    "  # 高亮 H₀ 区域：β₁ >= 0（右侧）\n",
    "  annotate(\"rect\", \n",
    "           xmin = h0_boundary, xmax = Inf,\n",
    "           ymin = -Inf, ymax = Inf,\n",
    "           fill = \"blue\", alpha = 0.2, inherit.aes = FALSE) +\n",
    "  \n",
    "  # 垂直线在 0 处（假设边界）\n",
    "  geom_vline(xintercept = 0, linetype = \"dashed\", color = \"grey\", size = 1) +\n",
    "  \n",
    "  # 标签：H₀ 在右侧，H₁ 在左侧\n",
    "  annotate(\"text\",\n",
    "           x = 0.5,  # H₀ 区域（右侧）\n",
    "           y = max_dens * 0.8,\n",
    "           label = \"H0: beta[1] >= 0\",\n",
    "           color = \"blue\",\n",
    "           fontface = \"bold\",\n",
    "           size = 4,\n",
    "           parse = TRUE) +\n",
    "  \n",
    "  annotate(\"text\",\n",
    "           x = -0.5,  # H₁ 区域（左侧）\n",
    "           y = max_dens * 0.6,\n",
    "           label = \"H1: beta[1] < 0\",\n",
    "           color = \"darkorange\",\n",
    "           fontface = \"bold\",\n",
    "           size = 4,\n",
    "           parse = TRUE) +\n",
    "  \n",
    "  xlim(-1, 1) +\n",
    "  \n",
    "  labs(\n",
    "    title = \"Directional Hypothesis: Testing for Negative Effect\",\n",
    "    x = expression(beta[1]),\n",
    "    y = \"Density\",\n",
    "    fill = \"Distribution\",\n",
    "    color = \"Distribution\"\n",
    "  ) +\n",
    "  \n",
    "  scale_fill_manual(values = c(\"prior\" = \"cyan\", \"posterior\" = \"coral\")) +\n",
    "  scale_color_manual(values = c(\"prior\" = \"cyan\", \"posterior\" = \"coral\")) +\n",
    "  \n",
    "  theme_minimal() +\n",
    "  theme(\n",
    "    panel.border = element_rect(fill = NA, colour = \"black\"),\n",
    "    panel.grid.minor = element_blank(),\n",
    "    legend.position = \"upper right\"\n",
    "  )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "24A47482B7224A1383CE8B81C7909AD2",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "runtime": {
     "execution_status": null,
     "is_visible": false,
     "status": "default"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "source": [
    "## 总结  \n",
    "贝叶斯因子较传统统计方法有很多优势，其中最突出的优势是对零假设和备择假设一视同仁。这一方面能够帮助研究者解决为零假设提供证据的问题，另一 方面还能帮助研究者拓宽思路，如本节课介绍了三种贝叶斯因子的计算与应用。  \n",
    "\n",
    "与传统的 $p$ 值不同，贝叶斯因子不仅能够告诉我们是否拒绝零假设，还能展示数据支持哪一个假设的证据强度。  \n",
    "\n",
    "最后，请大家不要谨慎看待 $p$ 值，$p$ 值并不教你相信/不相信什么，而只是为你修正自己的信念提供参考。  \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "92D574A06FED4099841D982BC2A46503",
    "jupyter": {},
    "notebookId": "68fa03ff9ccccc468a5f2777",
    "runtime": {
     "execution_status": null,
     "is_visible": false,
     "status": "default"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "tags": []
   },
   "source": [
    "## 第二次小作业  \n",
    "\n",
    "1. 针对选课同学：个人作业，每人会有相对应的被试编号数据，会将对应的被试编号信息发到班级qq群  \n",
    "    - 评分方式：人工评审，70分为及格分，100分为满分  \n",
    "    - 截止时间：11月30号12点前  \n",
    "    - 提交方式：仅需提交notebook文件，作业具体要求请查阅课件，项目以“学号_姓名”的形式进行命名，如“232302013_张三”  \n",
    "    - 其他：有问题咨询课程助教或老师  \n",
    "\n",
    "\n",
    "2. 针对旁听同学：个人作业，自行选择“Kolvoort_2020_HBM_Exp1_Clean.csv”中的单个被试数据进行练习，不用提交"
   ]
  }
 ],
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